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	8778q	Isogeny class
Conductor	8778	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	76975035714192 = 24 · 3 · 78 · 114 · 19	Discriminant
Eigenvalues	2- 3- -2 7+ 11+  6 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-71213874,-231316266252]	[a1,a2,a3,a4,a6]
j	39940872523782382756252678177/76975035714192	j-invariant
L	3.3261235383181	L(r)(E,1)/r!
Ω	0.051970680286221	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	70224ca6 26334r6 61446bq6 96558bh6	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 8778q5

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

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Quadratic twists for elliptic curve 8778q5

-4	-3	-7	-11
70224ca6	26334r6	61446bq6	96558bh6

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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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