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	5390v	Isogeny class
Conductor	5390	Conductor
∏ cp	22	Product of Tamagawa factors cp
deg	88704	Modular degree for the optimal curve
Δ	2485782191200000000 = 211 · 58 · 710 · 11	Discriminant
Eigenvalues	2-  1 5+ 7- 11+ -1 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-602701,-163390319]	[a1,a2,a3,a4,a6]
Generators	[-534:2767:1]	Generators of the group modulo torsion
j	85713473128801/8800000000	j-invariant
L	6.0885738176246	L(r)(E,1)/r!
Ω	0.17248147540364	Real period
R	1.6045395872161	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	43120bs1 48510bq1 26950k1 5390bc1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390v1

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	+	-	+	-1	-2	4	-4	3	4	-8	-8	-8	-2	-10	9	-1	5	2	-8	-11	10	2	-7

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Quadratic twists for elliptic curve 5390v1

-4	-3	5	-7	-11
43120bs1	48510bq1	26950k1	5390bc1	59290m1

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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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