Cremona's table of elliptic curves

11600 = 2⁴ · 5² · 29

Field	Data	Notes
Atkin-Lehner	2- 5- 29+	Signs for the Atkin-Lehner involutions
Class	11600bb	Isogeny class
Conductor	11600	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	5184	Modular degree for the optimal curve
Δ	-593920000 = -1 · 215 · 54 · 29	Discriminant
Eigenvalues	2-  2 5- -2  6  2 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,192,512]	[a1,a2,a3,a4,a6]
Generators	[2:30:1]	Generators of the group modulo torsion
j	304175/232	j-invariant
L	6.4366159326878	L(r)(E,1)/r!
Ω	1.0446058868661	Real period
R	1.0269608237926	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	1450i1 46400cr1 104400fy1 11600v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11600bb1

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	-	-2	6	2	-6	-2	0	+	7	-7	-12	-8	-9	-6	9	-1	1	12	2	-8	0	-6	-4

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Quadratic twists for elliptic curve 11600bb1

-4	8	-3	5
1450i1	46400cr1	104400fy1	11600v1

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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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