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	888d	Isogeny class
Conductor	888	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	64	Modular degree for the optimal curve
Δ	5328 = 24 · 32 · 37	Discriminant
Eigenvalues	2- 3-  4  0  0  2  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-11,-18]	[a1,a2,a3,a4,a6]
j	10061824/333	j-invariant
L	2.6073010855205	L(r)(E,1)/r!
Ω	2.6073010855205	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1776b1 7104c1 2664d1 22200a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 888d1

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

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Quadratic twists for elliptic curve 888d1

-4	8	-3	5	-7	-11	37
1776b1	7104c1	2664d1	22200a1	43512bb1	107448k1	32856h1

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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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