Cremona's table of elliptic curves

888 = 2³ · 3 · 37

Field	Data	Notes
Atkin-Lehner	2- 3+ 37-	Signs for the Atkin-Lehner involutions
Class	888c	Isogeny class
Conductor	888	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	-591408 = -1 · 24 · 33 · 372	Discriminant
Eigenvalues	2- 3+  0  0  0 -6 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3,-36]	[a1,a2,a3,a4,a6]
Generators	[5:7:1]	Generators of the group modulo torsion
j	-256000/36963	j-invariant
L	2.0698576774599	L(r)(E,1)/r!
Ω	1.2894745254293	Real period
R	1.60519470268	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1776c1 7104f1 2664b1 22200f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 888c1

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
-	+	0	0	0	-6	-4	4	6	-8	-4	-	10	-8	-8	-6	2	-10	-12	-8	-10	8	8	16	6

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Quadratic twists for elliptic curve 888c1

-4	8	-3	5	-7	-11	37
1776c1	7104f1	2664b1	22200f1	43512bj1	107448b1	32856a1

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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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