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	6090h	Isogeny class
Conductor	6090	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-189303843750 = -1 · 2 · 3 · 56 · 74 · 292	Discriminant
Eigenvalues	2+ 3- 5+ 7+  0  0 -2  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3669,87742]	[a1,a2,a3,a4,a6]
Generators	[40:53:1]	Generators of the group modulo torsion
j	-5460050774992969/189303843750	j-invariant
L	3.2483483770512	L(r)(E,1)/r!
Ω	1.0030743012011	Real period
R	1.619196291422	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	48720bj2 18270bs2 30450cf2 42630u2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6090h2

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

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Quadratic twists for elliptic curve 6090h2

-4	-3	5	-7
48720bj2	18270bs2	30450cf2	42630u2

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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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