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	-37000000000 = -1 · 29 · 59 · 37	Discriminant
Eigenvalues	2+ -2 5+ -1  3 -4  3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,166,-9204]	[a1,a2,a3,a4,a6]
j	510273943271/37000000000	j-invariant
L	0.55062075505614	L(r)(E,1)/r!
Ω	0.55062075505614	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	2960j3 11840k3 3330z3 1850h3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 370c2

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 370c2

-4	8	-3	5	-7	-11	13	17	37
2960j3	11840k3	3330z3	1850h3	18130l3	44770n3	62530t3	106930i3	13690m3

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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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