Cremona's table of elliptic curves

41070 = 2 · 3 · 5 · 37²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 37+	Signs for the Atkin-Lehner involutions
Class	41070w	Isogeny class
Conductor	41070	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	109440	Modular degree for the optimal curve
Δ	-8543868941970 = -1 · 2 · 32 · 5 · 377	Discriminant
Eigenvalues	2- 3+ 5-  1 -1 -2  7  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,2025,-135345]	[a1,a2,a3,a4,a6]
Generators	[256130:2441545:2744]	Generators of the group modulo torsion
j	357911/3330	j-invariant
L	8.7028386621439	L(r)(E,1)/r!
Ω	0.36307133250386	Real period
R	5.9925129602808	Regulator
r	1	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	123210y1 1110a1	Quadratic twists by: -3 37

Hecke Eigenvalues for elliptic curve 41070w1

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	-1	-2	7	2	0	-9	-7	+	-11	11	8	-11	10	1	-8	0	4	-12	-6	-6	19

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Quadratic twists for elliptic curve 41070w1

-3	37
123210y1	1110a1

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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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