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	3060h	Isogeny class
Conductor	3060	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	8640	Modular degree for the optimal curve
Δ	-12196570950000 = -1 · 24 · 315 · 55 · 17	Discriminant
Eigenvalues	2- 3- 5+ -5  5  0 17+  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1533,-169607]	[a1,a2,a3,a4,a6]
Generators	[296:5031:1]	Generators of the group modulo torsion
j	-34158804736/1045659375	j-invariant
L	2.9210713864882	L(r)(E,1)/r!
Ω	0.31004594769926	Real period
R	4.7107072486586	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	12240bq1 48960cx1 1020h1 15300y1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3060h1

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
-	-	+	-5	5	0	+	1	8	3	-8	-3	-5	-4	-1	1	-6	-4	2	-8	-17	10	-8	18	-14

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Quadratic twists for elliptic curve 3060h1

-4	8	-3	5	17
12240bq1	48960cx1	1020h1	15300y1	52020bi1

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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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