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	8	Product of Tamagawa factors cp
Δ	136900 = 22 · 52 · 372	Discriminant
Eigenvalues	2+  0 5+  0 -4  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-25,-39]	[a1,a2,a3,a4,a6]
Generators	[-3:3:1]	Generators of the group modulo torsion
j	1767172329/136900	j-invariant
L	1.2956210363413	L(r)(E,1)/r!
Ω	2.1415534939263	Real period
R	1.2099824169846	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	2960e2 11840o2 3330t2 1850j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 370a2

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 370a2

-4	8	-3	5	-7	-11	13	17	37
2960e2	11840o2	3330t2	1850j2	18130i2	44770m2	62530u2	106930j2	13690k2

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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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