Cremona's table of elliptic curves

808 = 2³ · 101

Field	Data	Notes
Atkin-Lehner	2- 101+	Signs for the Atkin-Lehner involutions
Class	808b	Isogeny class
Conductor	808	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	112	Modular degree for the optimal curve
Δ	25856 = 28 · 101	Discriminant
Eigenvalues	2-  2  3  2 -2 -3  3  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-129,-523]	[a1,a2,a3,a4,a6]
j	934577152/101	j-invariant
L	2.8314229563614	L(r)(E,1)/r!
Ω	1.4157114781807	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1616b1 6464j1 7272c1 20200b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 808b1

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

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Quadratic twists for elliptic curve 808b1

-4	8	-3	5	-7	-11	101
1616b1	6464j1	7272c1	20200b1	39592n1	97768c1	81608b1

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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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