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	11600d	Isogeny class
Conductor	11600	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	1051250000 = 24 · 57 · 292	Discriminant
Eigenvalues	2+  2 5+  4  0 -6  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-283,1062]	[a1,a2,a3,a4,a6]
Generators	[102:154:27]	Generators of the group modulo torsion
j	10061824/4205	j-invariant
L	6.9673642409092	L(r)(E,1)/r!
Ω	1.4067339438559	Real period
R	4.9528656583146	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	5800c1 46400ce1 104400bs1 2320c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11600d1

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	+	4	0	-6	0	0	-8	+	-8	0	6	-2	-2	6	-12	-6	16	0	-4	8	8	-10	-8

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Quadratic twists for elliptic curve 11600d1

-4	8	-3	5
5800c1	46400ce1	104400bs1	2320c1

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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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