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	128	Product of Tamagawa factors cp
Δ	428078403197432064 = 28 · 32 · 74 · 118 · 192	Discriminant
Eigenvalues	2- 3- -2 7+ 11+  6 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-4450914,-3614514876]	[a1,a2,a3,a4,a6]
j	9751497801132243174179617/428078403197432064	j-invariant
L	3.3261235383181	L(r)(E,1)/r!
Ω	0.10394136057244	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	70224ca4 26334r4 61446bq4 96558bh4	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 8778q3

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 8778q3

-4	-3	-7	-11
70224ca4	26334r4	61446bq4	96558bh4

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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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