Cremona's table of elliptic curves

5467 = 7 · 11 · 71

Field	Data	Notes
Atkin-Lehner	7+ 11- 71-	Signs for the Atkin-Lehner involutions
Class	5467b	Isogeny class
Conductor	5467	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	86688	Modular degree for the optimal curve
Δ	-643302076112364823 = -1 · 73 · 114 · 716	Discriminant
Eigenvalues	1  2 -2 7+ 11-  4  4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-14681,-38601376]	[a1,a2,a3,a4,a6]
Generators	[2658790:135515863:1000]	Generators of the group modulo torsion
j	-349974860661795097/643302076112364823	j-invariant
L	5.6470202361157	L(r)(E,1)/r!
Ω	0.13037415953692	Real period
R	7.2189921890625	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	87472d1 49203a1 38269h1 60137c1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 5467b1

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	2	-2	+	-	4	4	-6	8	6	-8	6	-8	-12	-4	6	-4	-12	-4	-	-14	-4	-6	-18	8

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Quadratic twists for elliptic curve 5467b1

-4	-3	-7	-11
87472d1	49203a1	38269h1	60137c1

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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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