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	1110f	Isogeny class
Conductor	1110	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	38361600000 = 212 · 34 · 55 · 37	Discriminant
Eigenvalues	2+ 3- 5+  4  4  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-195139,33162686]	[a1,a2,a3,a4,a6]
j	821774646379511057449/38361600000	j-invariant
L	1.7199504210584	L(r)(E,1)/r!
Ω	0.8599752105292	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	8880l1 35520s1 3330x1 5550bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1110f1

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	0	0	-6	0	+	-6	4	12	-6	8	10	4	0	-6	0	-4	-14	-10

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Quadratic twists for elliptic curve 1110f1

-4	8	-3	5	-7	37
8880l1	35520s1	3330x1	5550bc1	54390k1	41070bk1

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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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