Cremona's table of elliptic curves

3060 = 2² · 3² · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 17-	Signs for the Atkin-Lehner involutions
Class	3060b	Isogeny class
Conductor	3060	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-26768880 = -1 · 24 · 39 · 5 · 17	Discriminant
Eigenvalues	2- 3+ 5+ -1 -1  0 17- -3	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,27,-243]	[a1,a2,a3,a4,a6]
Generators	[9:27:1]	Generators of the group modulo torsion
j	6912/85	j-invariant
L	3.1167026048658	L(r)(E,1)/r!
Ω	1.0369511442894	Real period
R	0.50094012336547	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	12240bc1 48960v1 3060d1 15300a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3060b1

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
-	+	+	-1	-1	0	-	-3	6	9	0	-11	-3	6	-7	-9	0	-14	10	0	-9	-12	-12	0	-2

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Quadratic twists for elliptic curve 3060b1

-4	8	-3	5	17
12240bc1	48960v1	3060d1	15300a1	52020j1

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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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