Cremona's table of elliptic curves

3066 = 2 · 3 · 7 · 73

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 73+	Signs for the Atkin-Lehner involutions
Class	3066b	Isogeny class
Conductor	3066	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-153539148 = -1 · 22 · 3 · 74 · 732	Discriminant
Eigenvalues	2+ 3+  0 7+ -6 -2  4  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-10,592]	[a1,a2,a3,a4,a6]
Generators	[3:23:1]	Generators of the group modulo torsion
j	-128787625/153539148	j-invariant
L	1.9636522897152	L(r)(E,1)/r!
Ω	1.4720545607375	Real period
R	0.6669767351325	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	24528u2 98112s2 9198h2 76650da2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3066b2

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	+	-6	-2	4	4	8	8	0	-6	2	4	2	4	-6	-10	-12	-8	+	0	-2	6	-6

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Quadratic twists for elliptic curve 3066b2

-4	8	-3	5	-7
24528u2	98112s2	9198h2	76650da2	21462t2

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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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