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	16	Product of Tamagawa factors cp
Δ	6179359141291622400 = 222 · 316 · 52 · 372	Discriminant
Eigenvalues	2+ 3+ 5+ -4  4  2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-22394908,-40800879152]	[a1,a2,a3,a4,a6]
Generators	[-66117813537063925:22988667868274993:24200263953125]	Generators of the group modulo torsion
j	1242142983306846366056931529/6179359141291622400	j-invariant
L	1.5107434868363	L(r)(E,1)/r!
Ω	0.069400461927592	Real period
R	21.768493247387	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	8880x2 35520bo2 3330y2 5550bm2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1110c2

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 1110c2

-4	8	-3	5	-7	37
8880x2	35520bo2	3330y2	5550bm2	54390ba2	41070ba2

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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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