Cremona's table of elliptic curves

11100 = 2² · 3 · 5² · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 37-	Signs for the Atkin-Lehner involutions
Class	11100o	Isogeny class
Conductor	11100	Conductor
∏ cp	162	Product of Tamagawa factors cp
deg	51840	Modular degree for the optimal curve
Δ	-2694602700000000 = -1 · 28 · 39 · 58 · 372	Discriminant
Eigenvalues	2- 3- 5- -1  0 -1 -6 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-107333,13727463]	[a1,a2,a3,a4,a6]
Generators	[58:2775:1]	Generators of the group modulo torsion
j	-1367500718080/26946027	j-invariant
L	5.217652328313	L(r)(E,1)/r!
Ω	0.45490859583343	Real period
R	0.63720399317604	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	44400by1 33300y1 11100a1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 11100o1

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
-	-	-	-1	0	-1	-6	-1	0	6	5	-	6	-7	-6	12	0	5	-1	-6	2	8	0	-18	-1

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Quadratic twists for elliptic curve 11100o1

-4	-3	5
44400by1	33300y1	11100a1

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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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