Cremona's table of elliptic curves

7777 = 7 · 11 · 101

Field	Data	Notes
Atkin-Lehner	7+ 11- 101+	Signs for the Atkin-Lehner involutions
Class	7777b	Isogeny class
Conductor	7777	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	60481729 = 72 · 112 · 1012	Discriminant
Eigenvalues	1  0 -2 7+ 11-  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-238,-1305]	[a1,a2,a3,a4,a6]
j	1494447319737/60481729	j-invariant
L	0.60914755212559	L(r)(E,1)/r!
Ω	1.2182951042512	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	124432l2 69993d2 54439f2 85547h2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 7777b2

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

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Quadratic twists for elliptic curve 7777b2

-4	-3	-7	-11
124432l2	69993d2	54439f2	85547h2

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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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