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	5390bj	Isogeny class
Conductor	5390	Conductor
∏ cp	352	Product of Tamagawa factors cp
deg	22528	Modular degree for the optimal curve
Δ	-108797624320000 = -1 · 222 · 54 · 73 · 112	Discriminant
Eigenvalues	2- -2 5- 7- 11- -6  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,6250,464932]	[a1,a2,a3,a4,a6]
Generators	[-36:458:1]	Generators of the group modulo torsion
j	78716413996793/317194240000	j-invariant
L	4.260648459087	L(r)(E,1)/r!
Ω	0.42379790264867	Real period
R	0.11424421749083	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	43120co1 48510v1 26950z1 5390bb1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390bj1

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	-	-	-	-6	0	-2	8	-2	4	-6	0	-4	-4	6	-14	-2	4	-12	-4	-8	6	-16	12

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Quadratic twists for elliptic curve 5390bj1

-4	-3	5	-7	-11
43120co1	48510v1	26950z1	5390bb1	59290cf1

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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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