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	704	Product of Tamagawa factors cp
Δ	4017490400000000 = 211 · 58 · 73 · 114	Discriminant
Eigenvalues	2- -2 5- 7- 11- -6  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-65430,5668900]	[a1,a2,a3,a4,a6]
Generators	[-240:2870:1]	Generators of the group modulo torsion
j	90315183328170247/11712800000000	j-invariant
L	4.260648459087	L(r)(E,1)/r!
Ω	0.42379790264867	Real period
R	0.057122108745415	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	43120co2 48510v2 26950z2 5390bb2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390bj2

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 5390bj2

-4	-3	5	-7	-11
43120co2	48510v2	26950z2	5390bb2	59290cf2

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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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