Cremona's table of elliptic curves

2888 = 2³ · 19²

Field	Data	Notes
Atkin-Lehner	2- 19-	Signs for the Atkin-Lehner involutions
Class	2888c	Isogeny class
Conductor	2888	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	-1830649321472 = -1 · 211 · 197	Discriminant
Eigenvalues	2- -1  0  3  2 -1 -5 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3008,91948]	[a1,a2,a3,a4,a6]
Generators	[89:722:1]	Generators of the group modulo torsion
j	-31250/19	j-invariant
L	2.999436404708	L(r)(E,1)/r!
Ω	0.77307282630724	Real period
R	0.96997213672466	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	5776c1 23104m1 25992h1 72200f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2888c1

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	0	3	2	-1	-5	-	-1	3	-4	-2	8	-8	-8	-9	-1	14	-13	-10	9	10	10	12	-14

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Quadratic twists for elliptic curve 2888c1

-4	8	-3	5	-19
5776c1	23104m1	25992h1	72200f1	152b1

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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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