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	11466m	Isogeny class
Conductor	11466	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	-121709145312939366 = -1 · 2 · 37 · 78 · 136	Discriminant
Eigenvalues	2+ 3- -3 7+ -3 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,82899,14026851]	[a1,a2,a3,a4,a6]
Generators	[375:9699:1]	Generators of the group modulo torsion
j	14991903983/28960854	j-invariant
L	2.2073557754317	L(r)(E,1)/r!
Ω	0.22819950387647	Real period
R	1.2091151262026	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	91728dr2 3822bc2 11466r2	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 11466m2

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
+	-	-3	+	-3	-	-6	-4	-6	9	5	-4	12	-4	12	9	9	8	-4	-6	14	-1	-3	0	5

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Quadratic twists for elliptic curve 11466m2

-4	-3	-7
91728dr2	3822bc2	11466r2

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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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