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	11100a	Isogeny class
Conductor	11100	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	10368	Modular degree for the optimal curve
Δ	-172454572800 = -1 · 28 · 39 · 52 · 372	Discriminant
Eigenvalues	2- 3+ 5+  1  0  1  6 -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4293,111537]	[a1,a2,a3,a4,a6]
j	-1367500718080/26946027	j-invariant
L	2.034413087665	L(r)(E,1)/r!
Ω	1.0172065438325	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	44400ce1 33300g1 11100o1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 11100a1

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 11100a1

-4	-3	5
44400ce1	33300g1	11100o1

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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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