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	12	Product of Tamagawa factors cp
Δ	4052240 = 24 · 5 · 373	Discriminant
Eigenvalues	2- -2 5-  2  0  2  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-5275,-147903]	[a1,a2,a3,a4,a6]
j	16232905099479601/4052240	j-invariant
L	1.6806015939329	L(r)(E,1)/r!
Ω	0.56020053131098	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2960n3 11840c3 3330g3 1850a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 370d3

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 370d3

-4	8	-3	5	-7	-11	13	17	37
2960n3	11840c3	3330g3	1850a3	18130m3	44770j3	62530b3	106930r3	13690b3

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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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