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	11200j	Isogeny class
Conductor	11200	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-89915392000000 = -1 · 224 · 56 · 73	Discriminant
Eigenvalues	2+ -2 5+ 7+  0 -4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,7167,-389537]	[a1,a2,a3,a4,a6]
Generators	[493:11100:1]	Generators of the group modulo torsion
j	9938375/21952	j-invariant
L	2.5023312713679	L(r)(E,1)/r!
Ω	0.31327767024123	Real period
R	3.9937913057145	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	11200co3 350d3 100800da3 448c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11200j3

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

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Quadratic twists for elliptic curve 11200j3

-4	8	-3	5	-7
11200co3	350d3	100800da3	448c3	78400cc3

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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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