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	5395a	Isogeny class
Conductor	5395	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	18191265625 = 56 · 132 · 832	Discriminant
Eigenvalues	1  0 5+  0 -4 13+ -6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-685,-2184]	[a1,a2,a3,a4,a6]
j	35575581411369/18191265625	j-invariant
L	0.49281039040149	L(r)(E,1)/r!
Ω	0.98562078080299	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	86320n2 48555j2 26975b2 70135h2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 5395a2

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	+	0	-4	+	-6	-8	-4	-2	8	2	2	12	8	2	-4	-2	4	4	-10	-8	-	14	-18

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Quadratic twists for elliptic curve 5395a2

-4	-3	5	13
86320n2	48555j2	26975b2	70135h2

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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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