Cremona's table of elliptic curves

6468 = 2² · 3 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 11-	Signs for the Atkin-Lehner involutions
Class	6468q	Isogeny class
Conductor	6468	Conductor
∏ cp	156	Product of Tamagawa factors cp
deg	14976	Modular degree for the optimal curve
Δ	-231086864164464 = -1 · 24 · 313 · 77 · 11	Discriminant
Eigenvalues	2- 3- -1 7- 11-  1  0 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-23046,1524753]	[a1,a2,a3,a4,a6]
Generators	[534:-11907:1]	Generators of the group modulo torsion
j	-719152519936/122762871	j-invariant
L	4.614522701428	L(r)(E,1)/r!
Ω	0.53710327615239	Real period
R	0.055073716807324	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	25872bj1 103488m1 19404l1 924d1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6468q1

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	-	-	1	0	-5	2	-1	-8	1	0	6	-1	-2	-9	-10	7	0	-9	0	0	6	2

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Quadratic twists for elliptic curve 6468q1

-4	8	-3	-7	-11
25872bj1	103488m1	19404l1	924d1	71148ch1

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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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