Cremona's table of elliptic curves

11616 = 2⁵ · 3 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 11-	Signs for the Atkin-Lehner involutions
Class	11616j	Isogeny class
Conductor	11616	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-80009023615488 = -1 · 29 · 36 · 118	Discriminant
Eigenvalues	2+ 3-  0 -2 11- -4  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-10688,601500]	[a1,a2,a3,a4,a6]
Generators	[7:726:1]	Generators of the group modulo torsion
j	-148877000/88209	j-invariant
L	5.0923719144248	L(r)(E,1)/r!
Ω	0.56478199387995	Real period
R	1.5027544461422	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11616q2 23232h2 34848bs2 1056j2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 11616j2

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
+	-	0	-2	-	-4	2	0	2	2	4	6	6	-12	6	0	0	0	-4	10	-2	2	-4	-14	-2

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Quadratic twists for elliptic curve 11616j2

-4	8	-3	-11
11616q2	23232h2	34848bs2	1056j2

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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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