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	8	Product of Tamagawa factors cp
Δ	-368455065290620 = -1 · 22 · 5 · 712 · 113	Discriminant
Eigenvalues	2-  2 5+ 7- 11+ -2 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-4411,928549]	[a1,a2,a3,a4,a6]
Generators	[204413:2526664:1331]	Generators of the group modulo torsion
j	-80677568161/3131816380	j-invariant
L	7.0643120659399	L(r)(E,1)/r!
Ω	0.44648743001066	Real period
R	7.910986503888	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	43120bv3 48510bw3 26950o3 770g3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390x3

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 5390x3

-4	-3	5	-7	-11
43120bv3	48510bw3	26950o3	770g3	59290v3

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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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