Cremona's table of elliptic curves

3657 = 3 · 23 · 53

Field	Data	Notes
Atkin-Lehner	3- 23- 53-	Signs for the Atkin-Lehner involutions
Class	3657a	Isogeny class
Conductor	3657	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	544443189 = 3 · 23 · 534	Discriminant
Eigenvalues	1 3- -2 -4 -4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-427,-3235]	[a1,a2,a3,a4,a6]
j	8581129563817/544443189	j-invariant
L	1.0547231547419	L(r)(E,1)/r!
Ω	1.0547231547419	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	58512i4 10971a3 91425a4 84111b4	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 3657a3

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
1	-	-2	-4	-4	-2	2	4	-	6	0	-2	-10	-8	4	-	0	10	4	-8	-6	16	4	10	10

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Quadratic twists for elliptic curve 3657a3

-4	-3	5	-23
58512i4	10971a3	91425a4	84111b4

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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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