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	11200l	Isogeny class
Conductor	11200	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	253440	Modular degree for the optimal curve
Δ	-820654296875000000 = -1 · 26 · 517 · 75	Discriminant
Eigenvalues	2+  3 5+ 7+ -1 -1  3 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,186950,30523250]	[a1,a2,a3,a4,a6]
Generators	[-635538521265:-29942523759475:7797729087]	Generators of the group modulo torsion
j	722603599520256/820654296875	j-invariant
L	7.4513484618636	L(r)(E,1)/r!
Ω	0.18799283142533	Real period
R	19.818171803065	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	11200z1 5600q1 100800dd1 2240n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11200l1

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	+	+	-1	-1	3	-8	-4	-3	-6	-8	10	-12	-3	12	0	-2	4	-12	10	-13	0	-6	-5

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Quadratic twists for elliptic curve 11200l1

-4	8	-3	5	-7
11200z1	5600q1	100800dd1	2240n1	78400di1

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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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