Cremona's table of elliptic curves

8778 = 2 · 3 · 7 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 11- 19+	Signs for the Atkin-Lehner involutions
Class	8778s	Isogeny class
Conductor	8778	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	1.4745369197389E+26	Discriminant
Eigenvalues	2- 3- -2 7+ 11- -2 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-322764894,2154065555844]	[a1,a2,a3,a4,a6]
j	3718626741029018061078353846497/147453691973893898540802624	j-invariant
L	2.7563801116507	L(r)(E,1)/r!
Ω	0.05742458565939	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	70224bw3 26334l3 61446cj3 96558bl3	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 8778s3

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	+	-	-2	-6	+	-8	-2	8	6	2	12	8	6	12	14	4	-8	2	0	12	10	2

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Quadratic twists for elliptic curve 8778s3

-4	-3	-7	-11
70224bw3	26334l3	61446cj3	96558bl3

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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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