Cremona's table of elliptic curves

5395 = 5 · 13 · 83

Field	Data	Notes
Atkin-Lehner	5+ 13- 83+	Signs for the Atkin-Lehner involutions
Class	5395b	Isogeny class
Conductor	5395	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	804	Modular degree for the optimal curve
Δ	-911755 = -1 · 5 · 133 · 83	Discriminant
Eigenvalues	0 -2 5+ -1  6 13-  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-31,71]	[a1,a2,a3,a4,a6]
j	-3402072064/911755	j-invariant
L	0.88647937756633	L(r)(E,1)/r!
Ω	2.659438132699	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	86320r1 48555l1 26975a1 70135i1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 5395b1

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
0	-2	+	-1	6	-	6	-4	6	-3	8	-7	-6	5	0	-6	6	2	2	-3	-4	14	+	-9	8

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Quadratic twists for elliptic curve 5395b1

-4	-3	5	13
86320r1	48555l1	26975a1	70135i1

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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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