Cremona's table of elliptic curves

3655 = 5 · 17 · 43

Field	Data	Notes
Atkin-Lehner	5- 17- 43+	Signs for the Atkin-Lehner involutions
Class	3655a	Isogeny class
Conductor	3655	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-27893978175625 = -1 · 54 · 176 · 432	Discriminant
Eigenvalues	1  2 5- -2 -2  2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,7303,-79894]	[a1,a2,a3,a4,a6]
Generators	[3262:184774:1]	Generators of the group modulo torsion
j	43066015468848359/27893978175625	j-invariant
L	5.6470592396045	L(r)(E,1)/r!
Ω	0.38045446155781	Real period
R	1.2369108987188	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	58480m2 32895c2 18275a2 62135a2	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 3655a2

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	-	-2	-2	2	-	0	-6	-2	2	-10	2	+	-12	6	0	-10	0	-2	-2	14	-12	-10	-6

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Quadratic twists for elliptic curve 3655a2

-4	-3	5	17
58480m2	32895c2	18275a2	62135a2

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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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