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	11200cs	Isogeny class
Conductor	11200	Conductor
∏ cp	12	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	[14835:319375:27]	Generators of the group modulo torsion
j	-30211716096/1071875	j-invariant
L	7.5882672062671	L(r)(E,1)/r!
Ω	0.16720176165026	Real period
R	3.7819912558396	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	11200m1 2800h1 100800oc1 2240s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11200cs1

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 11200cs1

-4	8	-3	5	-7
11200m1	2800h1	100800oc1	2240s1	78400jf1

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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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