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	11466cb	Isogeny class
Conductor	11466	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	36864	Modular degree for the optimal curve
Δ	53946203980032 = 28 · 39 · 77 · 13	Discriminant
Eigenvalues	2- 3- -2 7-  4 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-24926,-1466643]	[a1,a2,a3,a4,a6]
j	19968681097/628992	j-invariant
L	3.0455477848462	L(r)(E,1)/r!
Ω	0.38069347310578	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	91728el1 3822d1 1638q1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 11466cb1

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

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Quadratic twists for elliptic curve 11466cb1

-4	-3	-7
91728el1	3822d1	1638q1

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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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