Cremona's table of elliptic curves

11466 = 2 · 3² · 7² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 13-	Signs for the Atkin-Lehner involutions
Class	11466ch	Isogeny class
Conductor	11466	Conductor
∏ cp	60	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	-20053591366536 = -1 · 23 · 39 · 73 · 135	Discriminant
Eigenvalues	2- 3-  1 7- -1 13- -5 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,2983,205377]	[a1,a2,a3,a4,a6]
Generators	[65:786:1]	Generators of the group modulo torsion
j	11743520417/80199288	j-invariant
L	7.316490442377	L(r)(E,1)/r!
Ω	0.49702942999921	Real period
R	0.24534061770375	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	91728fb1 3822g1 11466bw1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 11466ch1

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	-	-5	-1	5	3	-2	-11	0	-1	-12	-10	-14	1	4	2	-1	-8	2	12	-2

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Quadratic twists for elliptic curve 11466ch1

-4	-3	-7
91728fb1	3822g1	11466bw1

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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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