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	256	Product of Tamagawa factors cp
deg	86016	Modular degree for the optimal curve
Δ	-11819333386764288 = -1 · 232 · 32 · 7 · 112 · 192	Discriminant
Eigenvalues	2- 3- -2 7+ 11+  6 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,35486,-4551100]	[a1,a2,a3,a4,a6]
j	4941901578364226783/11819333386764288	j-invariant
L	3.3261235383181	L(r)(E,1)/r!
Ω	0.20788272114488	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	70224ca1 26334r1 61446bq1 96558bh1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 8778q1

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 8778q1

-4	-3	-7	-11
70224ca1	26334r1	61446bq1	96558bh1

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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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