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	6636a	Isogeny class
Conductor	6636	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	6720	Modular degree for the optimal curve
Δ	1528695504 = 24 · 37 · 7 · 792	Discriminant
Eigenvalues	2- 3+ -2 7- -6 -2  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5129,143094]	[a1,a2,a3,a4,a6]
j	932795620114432/95543469	j-invariant
L	0.72250720541194	L(r)(E,1)/r!
Ω	1.4450144108239	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	26544o1 106176bb1 19908e1 46452e1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6636a1

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

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Quadratic twists for elliptic curve 6636a1

-4	8	-3	-7
26544o1	106176bb1	19908e1	46452e1

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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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