Cremona's table of elliptic curves

8888 = 2³ · 11 · 101

Field	Data	Notes
Atkin-Lehner	2- 11- 101+	Signs for the Atkin-Lehner involutions
Class	8888c	Isogeny class
Conductor	8888	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	611520	Modular degree for the optimal curve
Δ	-7.8550493577026E+19	Discriminant
Eigenvalues	2-  2 -4 -5 11-  4  3  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2848400,1899780236]	[a1,a2,a3,a4,a6]
Generators	[9865:966306:1]	Generators of the group modulo torsion
j	-1247949017853525511202/38354733191907341	j-invariant
L	4.036105277664	L(r)(E,1)/r!
Ω	0.19223898124034	Real period
R	1.4996606424918	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	17776b1 71104f1 79992h1 97768d1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 8888c1

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	-4	-5	-	4	3	5	-4	-1	4	-2	-4	-1	-2	5	10	-9	-2	6	-10	6	14	14	-7

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Quadratic twists for elliptic curve 8888c1

-4	8	-3	-11
17776b1	71104f1	79992h1	97768d1

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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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