Cremona's table of elliptic curves

370 = 2 · 5 · 37

Field	Data	Notes
Atkin-Lehner	2+ 5+ 37+	Signs for the Atkin-Lehner involutions
Class	370a	Isogeny class
Conductor	370	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	46250 = 2 · 54 · 37	Discriminant
Eigenvalues	2+  0 5+  0 -4  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-395,-2925]	[a1,a2,a3,a4,a6]
Generators	[45:240:1]	Generators of the group modulo torsion
j	6825481747209/46250	j-invariant
L	1.2956210363413	L(r)(E,1)/r!
Ω	1.0707767469631	Real period
R	2.4199648339692	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2960e3 11840o3 3330t3 1850j3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 370a3

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
+	0	+	0	-4	2	-2	-4	0	-6	-4	+	-6	4	-8	10	4	10	-8	0	10	-4	0	2	6

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Quadratic twists for elliptic curve 370a3

-4	8	-3	5	-7	-11	13	17	37
2960e3	11840o3	3330t3	1850j3	18130i3	44770m4	62530u4	106930j4	13690k3

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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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