Cremona's table of elliptic curves

6090 = 2 · 3 · 5 · 7 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7+ 29+	Signs for the Atkin-Lehner involutions
Class	6090u	Isogeny class
Conductor	6090	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-235622405352600 = -1 · 23 · 35 · 52 · 78 · 292	Discriminant
Eigenvalues	2- 3+ 5- 7+  0 -4 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,3115,736787]	[a1,a2,a3,a4,a6]
Generators	[-43:746:1]	Generators of the group modulo torsion
j	3342636501165359/235622405352600	j-invariant
L	5.1407277966129	L(r)(E,1)/r!
Ω	0.42517908025918	Real period
R	2.0151225821832	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	48720cu2 18270n2 30450bc2 42630ct2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6090u2

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

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Quadratic twists for elliptic curve 6090u2

-4	-3	5	-7
48720cu2	18270n2	30450bc2	42630ct2

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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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