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	8778w	Isogeny class
Conductor	8778	Conductor
∏ cp	1296	Product of Tamagawa factors cp
Δ	-1.2597544921322E+19	Discriminant
Eigenvalues	2- 3-  0 7- 11+ -4 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-333038,186072708]	[a1,a2,a3,a4,a6]
Generators	[-488:15490:1]	Generators of the group modulo torsion
j	-4085123241821808390625/12597544921322414592	j-invariant
L	7.5872707139375	L(r)(E,1)/r!
Ω	0.19762102238304	Real period
R	1.0664731782588	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	70224bi2 26334w2 61446bm2 96558w2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 8778w2

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

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Quadratic twists for elliptic curve 8778w2

-4	-3	-7	-11
70224bi2	26334w2	61446bm2	96558w2

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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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