Cremona's table of elliptic curves

11200 = 2⁶ · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+	Signs for the Atkin-Lehner involutions
Class	11200m	Isogeny class
Conductor	11200	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	92160	Modular degree for the optimal curve
Δ	-274400000000000 = -1 · 214 · 511 · 73	Discriminant
Eigenvalues	2+ -3 5+ 7+  5 -5  7  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-41200,3316000]	[a1,a2,a3,a4,a6]
Generators	[145:625:1]	Generators of the group modulo torsion
j	-30211716096/1071875	j-invariant
L	2.7306182426044	L(r)(E,1)/r!
Ω	0.54671713864175	Real period
R	1.2486430594568	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	11200cs1 1400i1 100800eg1 2240d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11200m1

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
+	-3	+	+	5	-5	7	2	2	-7	4	-6	-12	-2	-1	0	4	-4	8	0	-6	-3	-4	0	-13

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Quadratic twists for elliptic curve 11200m1

-4	8	-3	5	-7
11200cs1	1400i1	100800eg1	2240d1	78400df1

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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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