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	14760h	Isogeny class
Conductor	14760	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1016436418560 = 211 · 310 · 5 · 412	Discriminant
Eigenvalues	2+ 3- 5-  2 -6 -2  4  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3027,-41906]	[a1,a2,a3,a4,a6]
Generators	[-30:148:1]	Generators of the group modulo torsion
j	2054487458/680805	j-invariant
L	5.2478742077266	L(r)(E,1)/r!
Ω	0.66074955168423	Real period
R	3.9711523029792	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	29520r2 118080w2 4920i2 73800ce2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14760h2

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	-6	-2	4	2	0	-4	8	-2	+	-4	-6	6	-12	-6	12	-12	-14	16	12	10	-12

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Quadratic twists for elliptic curve 14760h2

-4	8	-3	5
29520r2	118080w2	4920i2	73800ce2

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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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