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	11466cm	Isogeny class
Conductor	11466	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	32256	Modular degree for the optimal curve
Δ	-96372645651828 = -1 · 22 · 38 · 710 · 13	Discriminant
Eigenvalues	2- 3- -2 7- -3 13-  1  3	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,10354,239537]	[a1,a2,a3,a4,a6]
Generators	[129:1861:1]	Generators of the group modulo torsion
j	596183/468	j-invariant
L	5.9570465360767	L(r)(E,1)/r!
Ω	0.38575491470876	Real period
R	3.8606420222632	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	91728fs1 3822p1 11466bt1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 11466cm1

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	-	-3	-	1	3	0	-3	4	-2	2	6	-9	-1	11	-11	-7	-15	12	2	0	10	12

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Quadratic twists for elliptic curve 11466cm1

-4	-3	-7
91728fs1	3822p1	11466bt1

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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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