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	370c	Isogeny class
Conductor	370	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-370 = -1 · 2 · 5 · 37	Discriminant
Eigenvalues	2+ -2 5+ -1  3 -4  3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-54,146]	[a1,a2,a3,a4,a6]
j	-16954786009/370	j-invariant
L	0.55062075505614	L(r)(E,1)/r!
Ω	4.9555867955053	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	2960j1 11840k1 3330z1 1850h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 370c3

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
+	-2	+	-1	3	-4	3	2	6	3	5	-	3	-1	12	3	0	-1	-4	6	-16	8	-12	-6	17

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Quadratic twists for elliptic curve 370c3

-4	8	-3	5	-7	-11	13	17	37
2960j1	11840k1	3330z1	1850h1	18130l1	44770n1	62530t1	106930i1	13690m1

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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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