Cremona's table of elliptic curves

6636 = 2² · 3 · 7 · 79

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 79-	Signs for the Atkin-Lehner involutions
Class	6636c	Isogeny class
Conductor	6636	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1728	Modular degree for the optimal curve
Δ	-14678832 = -1 · 24 · 3 · 72 · 792	Discriminant
Eigenvalues	2- 3-  2 7- -2 -6  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,23,-172]	[a1,a2,a3,a4,a6]
Generators	[1156:5145:64]	Generators of the group modulo torsion
j	80494592/917427	j-invariant
L	5.3500711392133	L(r)(E,1)/r!
Ω	1.0921086518028	Real period
R	4.8988451198348	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	26544i1 106176l1 19908f1 46452b1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6636c1

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	-6	0	-4	-6	8	4	-10	-12	12	4	-8	-4	10	-12	-12	6	-	2	-10	2

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Quadratic twists for elliptic curve 6636c1

-4	8	-3	-7
26544i1	106176l1	19908f1	46452b1

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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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