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	9152w	Isogeny class
Conductor	9152	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	-4390729547776 = -1 · 221 · 115 · 13	Discriminant
Eigenvalues	2-  2  1 -1 11+ 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4225,147489]	[a1,a2,a3,a4,a6]
Generators	[-75:192:1]	Generators of the group modulo torsion
j	-31824875809/16749304	j-invariant
L	6.2539342076388	L(r)(E,1)/r!
Ω	0.7221518241498	Real period
R	2.165034414682	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	9152n1 2288j1 82368fa1 100672dd1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 9152w1

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	1	-1	+	-	2	-4	-1	-7	6	2	-5	5	-8	-2	5	-7	-7	0	5	4	0	-4	-16

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Quadratic twists for elliptic curve 9152w1

-4	8	-3	-11	13
9152n1	2288j1	82368fa1	100672dd1	118976dd1

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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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