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	14760g	Isogeny class
Conductor	14760	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	119556000000 = 28 · 36 · 56 · 41	Discriminant
Eigenvalues	2+ 3- 5+ -2  0  0 -8  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2343,-40358]	[a1,a2,a3,a4,a6]
Generators	[-33:32:1]	Generators of the group modulo torsion
j	7622072656/640625	j-invariant
L	3.882505683536	L(r)(E,1)/r!
Ω	0.68987978812751	Real period
R	2.8139001535862	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	29520l2 118080cu2 1640f2 73800cj2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14760g2

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	0	0	-8	0	4	6	-8	2	-	12	2	12	12	2	-2	0	10	-16	0	-6	-12

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Quadratic twists for elliptic curve 14760g2

-4	8	-3	5
29520l2	118080cu2	1640f2	73800cj2

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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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