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	3060d	Isogeny class
Conductor	3060	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-36720 = -1 · 24 · 33 · 5 · 17	Discriminant
Eigenvalues	2- 3+ 5- -1  1  0 17+ -3	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,3,9]	[a1,a2,a3,a4,a6]
Generators	[0:3:1]	Generators of the group modulo torsion
j	6912/85	j-invariant
L	3.5124958027222	L(r)(E,1)/r!
Ω	2.7019711331831	Real period
R	0.64998766263359	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	12240bg1 48960b1 3060b1 15300e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3060d1

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 3060d1

-4	8	-3	5	17
12240bg1	48960b1	3060b1	15300e1	52020c1

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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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