Cremona's table of elliptic curves

1110 = 2 · 3 · 5 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 37+	Signs for the Atkin-Lehner involutions
Class	1110c	Isogeny class
Conductor	1110	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	125914832087040 = 211 · 38 · 5 · 374	Discriminant
Eigenvalues	2+ 3+ 5+ -4  4  2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-358318108,-2610814913072]	[a1,a2,a3,a4,a6]
Generators	[-8936905680322312972711413449325:4468495389702445344953553243977:817705495626822330516828125]	Generators of the group modulo torsion
j	5087799435928552778197163696329/125914832087040	j-invariant
L	1.5107434868363	L(r)(E,1)/r!
Ω	0.034700230963796	Real period
R	43.536986494773	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8880x3 35520bo4 3330y3 5550bm3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1110c3

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	+	+	-4	4	2	-2	8	0	-6	-8	+	-6	4	-12	-6	0	-6	12	0	-6	-8	4	-14	6

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Quadratic twists for elliptic curve 1110c3

-4	8	-3	5	-7	37
8880x3	35520bo4	3330y3	5550bm3	54390ba4	41070ba4

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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