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	15960i	Isogeny class
Conductor	15960	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	153222465715200 = 210 · 38 · 52 · 7 · 194	Discriminant
Eigenvalues	2+ 3- 5- 7+  4  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-13480,-95200]	[a1,a2,a3,a4,a6]
j	264560893944484/149631314175	j-invariant
L	3.8217096378172	L(r)(E,1)/r!
Ω	0.47771370472715	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	31920k4 127680d4 47880be4 79800bh4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15960i3

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
+	-	-	+	4	2	2	-	8	6	-8	-10	6	4	8	-2	-4	6	-8	-4	2	4	12	6	-18

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Quadratic twists for elliptic curve 15960i3

-4	8	-3	5	-7
31920k4	127680d4	47880be4	79800bh4	111720b4

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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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