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	6090j	Isogeny class
Conductor	6090	Conductor
∏ cp	216	Product of Tamagawa factors cp
deg	51840	Modular degree for the optimal curve
Δ	9259822340096580 = 22 · 318 · 5 · 72 · 293	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0 -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-111364,-13543474]	[a1,a2,a3,a4,a6]
j	152739924334437553849/9259822340096580	j-invariant
L	1.5740161578009	L(r)(E,1)/r!
Ω	0.26233602630016	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	48720be1 18270bx1 30450bw1 42630w1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6090j1

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	6	2	-6	-	-4	2	0	-4	12	6	12	-4	14	-12	-10	-4	0	0	2

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Quadratic twists for elliptic curve 6090j1

-4	-3	5	-7
48720be1	18270bx1	30450bw1	42630w1

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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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