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	11200cm	Isogeny class
Conductor	11200	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-1542048972800 = -1 · 219 · 52 · 76	Discriminant
Eigenvalues	2- -1 5+ 7-  3  2 -3 -7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2913,86017]	[a1,a2,a3,a4,a6]
Generators	[141:1568:1]	Generators of the group modulo torsion
j	-417267265/235298	j-invariant
L	3.8553464072515	L(r)(E,1)/r!
Ω	0.78616019584801	Real period
R	0.20433422409818	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	11200e2 2800u2 100800nq2 11200cw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11200cm2

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
-	-1	+	-	3	2	-3	-7	0	6	4	8	-9	-8	-6	-12	12	10	7	-6	-5	-14	9	-15	10

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Quadratic twists for elliptic curve 11200cm2

-4	8	-3	5	-7
11200e2	2800u2	100800nq2	11200cw2	78400hk2

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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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