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	8778v	Isogeny class
Conductor	8778	Conductor
∏ cp	570	Product of Tamagawa factors cp
deg	82080	Modular degree for the optimal curve
Δ	-18892544408027136 = -1 · 219 · 33 · 72 · 11 · 195	Discriminant
Eigenvalues	2- 3- -3 7+ 11- -2  3 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-53417,-8147751]	[a1,a2,a3,a4,a6]
Generators	[2458:-122525:1]	Generators of the group modulo torsion
j	-16856317425118992913/18892544408027136	j-invariant
L	6.292323249919	L(r)(E,1)/r!
Ω	0.15043560742723	Real period
R	0.073381320986052	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	70224bu1 26334p1 61446ce1 96558bi1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 8778v1

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
-	-	-3	+	-	-2	3	-	0	-7	-6	3	0	9	-6	8	-2	-7	-3	8	-4	-8	-8	-9	-14

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Quadratic twists for elliptic curve 8778v1

-4	-3	-7	-11
70224bu1	26334p1	61446ce1	96558bi1

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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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