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	8778x	Isogeny class
Conductor	8778	Conductor
∏ cp	1250	Product of Tamagawa factors cp
deg	156000	Modular degree for the optimal curve
Δ	-113908758960116736 = -1 · 210 · 35 · 75 · 11 · 195	Discriminant
Eigenvalues	2- 3-  1 7- 11- -6  8 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-261680,-54043392]	[a1,a2,a3,a4,a6]
j	-1981688591655059454721/113908758960116736	j-invariant
L	5.2595768857862	L(r)(E,1)/r!
Ω	0.10519153771572	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	70224bb1 26334u1 61446cd1 96558x1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 8778x1

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
-	-	1	-	-	-6	8	-	9	0	2	-2	-3	-1	8	-11	5	7	-12	12	-1	10	4	0	-17

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Quadratic twists for elliptic curve 8778x1

-4	-3	-7	-11
70224bb1	26334u1	61446cd1	96558x1

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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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