Cremona's table of elliptic curves

14760 = 2³ · 3² · 5 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 41+	Signs for the Atkin-Lehner involutions
Class	14760o	Isogeny class
Conductor	14760	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	153600	Modular degree for the optimal curve
Δ	502434090000000000 = 210 · 36 · 510 · 413	Discriminant
Eigenvalues	2- 3- 5+  2  2 -2  4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-281763,46378062]	[a1,a2,a3,a4,a6]
Generators	[-119031:11204208:1331]	Generators of the group modulo torsion
j	3313966509875844/673056640625	j-invariant
L	5.0493677742865	L(r)(E,1)/r!
Ω	0.27851067205254	Real period
R	9.0649448674159	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	29520h1 118080ca1 1640d1 73800p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14760o1

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
-	-	+	2	2	-2	4	-2	8	-4	-8	-6	+	4	-10	6	-8	-14	8	-12	-6	0	4	-6	-8

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Quadratic twists for elliptic curve 14760o1

-4	8	-3	5
29520h1	118080ca1	1640d1	73800p1

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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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