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	6090s	Isogeny class
Conductor	6090	Conductor
∏ cp	192	Product of Tamagawa factors cp
deg	46080	Modular degree for the optimal curve
Δ	-5589443704320000 = -1 · 212 · 32 · 54 · 73 · 294	Discriminant
Eigenvalues	2- 3+ 5+ 7+  4 -6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,22254,3371679]	[a1,a2,a3,a4,a6]
Generators	[-71:1235:1]	Generators of the group modulo torsion
j	1218840126444091871/5589443704320000	j-invariant
L	4.6683193700987	L(r)(E,1)/r!
Ω	0.30670837164127	Real period
R	1.2683925518339	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	48720cm1 18270v1 30450bi1 42630do1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6090s1

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

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Quadratic twists for elliptic curve 6090s1

-4	-3	5	-7
48720cm1	18270v1	30450bi1	42630do1

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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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