Cremona's table of elliptic curves

2888 = 2³ · 19²

Field	Data	Notes
Atkin-Lehner	2- 19-	Signs for the Atkin-Lehner involutions
Class	2888f	Isogeny class
Conductor	2888	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	-228831165184 = -1 · 28 · 197	Discriminant
Eigenvalues	2-  2 -1 -3 -3  4  5 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-481,-23211]	[a1,a2,a3,a4,a6]
Generators	[108:1083:1]	Generators of the group modulo torsion
j	-1024/19	j-invariant
L	3.9901640397785	L(r)(E,1)/r!
Ω	0.42756541534869	Real period
R	1.1665361300693	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	5776f1 23104t1 25992i1 72200k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2888f1

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
-	2	-1	-3	-3	4	5	-	0	-2	-8	10	-6	-7	-9	8	-14	-5	0	6	-15	4	4	0	-16

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Quadratic twists for elliptic curve 2888f1

-4	8	-3	5	-19
5776f1	23104t1	25992i1	72200k1	152a1

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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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