Cremona's table of elliptic curves

15960 = 2³ · 3 · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7- 19+	Signs for the Atkin-Lehner involutions
Class	15960f	Isogeny class
Conductor	15960	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	4.9270599131544E+21	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0 -6 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2016454216,34851564975920]	[a1,a2,a3,a4,a6]
Generators	[28427:708750:1]	Generators of the group modulo torsion
j	442750292905268783669825290898/2405790973219921875	j-invariant
L	5.3832226652447	L(r)(E,1)/r!
Ω	0.093007005466775	Real period
R	1.6077709649182	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	31920c4 127680bp4 47880bn4 79800x4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15960f3

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	-6	+	8	2	-4	10	-2	-4	8	-6	4	14	4	0	10	-4	16	-18	-14

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Quadratic twists for elliptic curve 15960f3

-4	8	-3	5	-7
31920c4	127680bp4	47880bn4	79800x4	111720o4

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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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