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	1110o	Isogeny class
Conductor	1110	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	80	Modular degree for the optimal curve
Δ	-11100 = -1 · 22 · 3 · 52 · 37	Discriminant
Eigenvalues	2- 3- 5+  4 -2  2 -2  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1,5]	[a1,a2,a3,a4,a6]
j	-117649/11100	j-invariant
L	3.3230285311068	L(r)(E,1)/r!
Ω	3.3230285311068	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8880q1 35520p1 3330l1 5550d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1110o1

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	-2	2	-2	2	0	2	4	-	-6	-4	-10	6	4	4	-12	8	-2	-4	4	-6	12

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Quadratic twists for elliptic curve 1110o1

-4	8	-3	5	-7	37
8880q1	35520p1	3330l1	5550d1	54390cg1	41070n1

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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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