Cremona's table of elliptic curves

9152 = 2⁶ · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 11+ 13-	Signs for the Atkin-Lehner involutions
Class	9152v	Isogeny class
Conductor	9152	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-118976 = -1 · 26 · 11 · 132	Discriminant
Eigenvalues	2- -1  1  2 11+ 13- -4  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5,19]	[a1,a2,a3,a4,a6]
Generators	[6:13:1]	Generators of the group modulo torsion
j	-262144/1859	j-invariant
L	3.9309525691954	L(r)(E,1)/r!
Ω	2.8507325590744	Real period
R	0.6894635830854	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	9152l1 2288i1 82368fb1 100672cy1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 9152v1

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	2	+	-	-4	2	-7	2	3	11	10	-4	4	-2	-1	2	-1	9	-16	-8	0	-7	-13

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Quadratic twists for elliptic curve 9152v1

-4	8	-3	-11	13
9152l1	2288i1	82368fb1	100672cy1	118976da1

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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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