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	370d	Isogeny class
Conductor	370	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	-1369000000 = -1 · 26 · 56 · 372	Discriminant
Eigenvalues	2- -2 5-  2  0  2  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,245,-975]	[a1,a2,a3,a4,a6]
j	1625964918479/1369000000	j-invariant
L	1.6806015939329	L(r)(E,1)/r!
Ω	0.84030079696647	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	2960n2 11840c2 3330g2 1850a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 370d2

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	-	2	0	2	6	2	0	6	-10	-	-6	-4	-6	6	-6	-10	2	0	2	-10	-6	-6	2

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Quadratic twists for elliptic curve 370d2

-4	8	-3	5	-7	-11	13	17	37
2960n2	11840c2	3330g2	1850a2	18130m2	44770j2	62530b2	106930r2	13690b2

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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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