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	8778j	Isogeny class
Conductor	8778	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	5243960439168542784 = 26 · 32 · 76 · 118 · 192	Discriminant
Eigenvalues	2+ 3- -2 7- 11+ -2  6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-40174912,98008873550]	[a1,a2,a3,a4,a6]
Generators	[3265:38939:1]	Generators of the group modulo torsion
j	7171144918113246667863622777/5243960439168542784	j-invariant
L	3.4227441431572	L(r)(E,1)/r!
Ω	0.20077025508617	Real period
R	2.841343987674	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	70224bq2 26334bs2 61446i2 96558cv2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 8778j2

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	-	+	-2	6	+	-4	2	-4	2	6	-4	0	10	-4	-2	0	0	-6	-8	-16	6	6

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Quadratic twists for elliptic curve 8778j2

-4	-3	-7	-11
70224bq2	26334bs2	61446i2	96558cv2

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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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