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	6468l	Isogeny class
Conductor	6468	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	-21306704496 = -1 · 24 · 3 · 79 · 11	Discriminant
Eigenvalues	2- 3-  1 7- 11+  3 -2  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,670,2421]	[a1,a2,a3,a4,a6]
j	17643776/11319	j-invariant
L	3.01704363332	L(r)(E,1)/r!
Ω	0.75426090833001	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	25872bw1 103488bu1 19404y1 924c1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6468l1

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	-	+	3	-2	5	4	3	6	-3	0	-8	9	-4	9	2	-5	0	9	-4	2	-10	-16

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Quadratic twists for elliptic curve 6468l1

-4	8	-3	-7	-11
25872bw1	103488bu1	19404y1	924c1	71148ce1

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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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