Cremona's table of elliptic curves

11800 = 2³ · 5² · 59

Field	Data	Notes
Atkin-Lehner	2- 5- 59-	Signs for the Atkin-Lehner involutions
Class	11800h	Isogeny class
Conductor	11800	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	18240	Modular degree for the optimal curve
Δ	-2784800000000 = -1 · 211 · 58 · 592	Discriminant
Eigenvalues	2- -1 5- -4  5  4  1  3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2208,90412]	[a1,a2,a3,a4,a6]
j	-1488770/3481	j-invariant
L	1.4290854718709	L(r)(E,1)/r!
Ω	0.71454273593547	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	23600h1 94400be1 106200u1 11800d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11800h1

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	-	-4	5	4	1	3	6	-4	0	-4	9	-4	-10	0	-	6	11	4	1	-8	3	-7	6

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Quadratic twists for elliptic curve 11800h1

-4	8	-3	5
23600h1	94400be1	106200u1	11800d1

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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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