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	8778u	Isogeny class
Conductor	8778	Conductor
∏ cp	2016	Product of Tamagawa factors cp
Δ	-1.2843002797961E+19	Discriminant
Eigenvalues	2- 3-  0 7+ 11-  4 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-909283,375564545]	[a1,a2,a3,a4,a6]
Generators	[-646:26657:1]	Generators of the group modulo torsion
j	-83142093680908305576625/12843002797961390208	j-invariant
L	7.5887287346112	L(r)(E,1)/r!
Ω	0.2166725782327	Real period
R	0.069491956852017	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	70224br2 26334n2 61446cb2 96558bf2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 8778u2

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	+	-	4	-6	-	-6	-10	-6	-12	6	-12	-6	2	4	2	12	-4	-10	-2	4	-6	10

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Quadratic twists for elliptic curve 8778u2

-4	-3	-7	-11
70224br2	26334n2	61446cb2	96558bf2

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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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