Cremona's table of elliptic curves

4641 = 3 · 7 · 13 · 17

Field	Data	Notes
Atkin-Lehner	3- 7- 13- 17-	Signs for the Atkin-Lehner involutions
Class	4641g	Isogeny class
Conductor	4641	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	2240	Modular degree for the optimal curve
Δ	6390657 = 35 · 7 · 13 · 172	Discriminant
Eigenvalues	-1 3- -4 7- -4 13- 17-  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-455,3696]	[a1,a2,a3,a4,a6]
Generators	[-5:79:1]	Generators of the group modulo torsion
j	10418796526321/6390657	j-invariant
L	2.0795846410604	L(r)(E,1)/r!
Ω	2.3533154666256	Real period
R	0.35347316083249	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	74256bw1 13923l1 116025c1 32487b1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4641g1

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	-	-4	-	-4	-	-	0	-4	-4	8	4	0	-4	10	6	-2	0	14	-8	-10	-16	10	-2	-2

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Quadratic twists for elliptic curve 4641g1

-4	-3	5	-7	13	17
74256bw1	13923l1	116025c1	32487b1	60333l1	78897b1

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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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