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	6090i	Isogeny class
Conductor	6090	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-1442586155220 = -1 · 22 · 36 · 5 · 76 · 292	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-5489,166376]	[a1,a2,a3,a4,a6]
Generators	[-39:586:1]	Generators of the group modulo torsion
j	-18284776796707849/1442586155220	j-invariant
L	3.3437581951451	L(r)(E,1)/r!
Ω	0.83516426240837	Real period
R	1.0009283040628	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	48720bc2 18270ca2 30450bs2 42630o2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6090i2

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	0	-4	0	+	8	-4	6	8	0	-12	0	2	-4	6	2	-10	-12	-18	2

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Quadratic twists for elliptic curve 6090i2

-4	-3	5	-7
48720bc2	18270ca2	30450bs2	42630o2

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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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