Cremona's table of elliptic curves

5390 = 2 · 5 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	5390x	Isogeny class
Conductor	5390	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	12456087875000 = 23 · 56 · 77 · 112	Discriminant
Eigenvalues	2-  2 5+ 7- 11+ -2 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-13231,-566147]	[a1,a2,a3,a4,a6]
Generators	[-71:182:1]	Generators of the group modulo torsion
j	2177286259681/105875000	j-invariant
L	7.0643120659399	L(r)(E,1)/r!
Ω	0.44648743001066	Real period
R	1.318497750648	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	43120bv2 48510bw2 26950o2 770g2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390x2

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

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Quadratic twists for elliptic curve 5390x2

-4	-3	5	-7	-11
43120bv2	48510bw2	26950o2	770g2	59290v2

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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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