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	11200bl	Isogeny class
Conductor	11200	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-4917248000 = -1 · 214 · 53 · 74	Discriminant
Eigenvalues	2+  0 5- 7-  0 -4  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-220,-3600]	[a1,a2,a3,a4,a6]
Generators	[34:168:1]	Generators of the group modulo torsion
j	-574992/2401	j-invariant
L	4.3494302590969	L(r)(E,1)/r!
Ω	0.56445225582939	Real period
R	0.96319711148686	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	11200cu2 700h2 100800hk2 11200bb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11200bl2

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

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Quadratic twists for elliptic curve 11200bl2

-4	8	-3	5	-7
11200cu2	700h2	100800hk2	11200bb2	78400dz2

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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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