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	15960n	Isogeny class
Conductor	15960	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	2063244960000 = 28 · 36 · 54 · 72 · 192	Discriminant
Eigenvalues	2- 3- 5+ 7+ -4 -2  6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4996,-118720]	[a1,a2,a3,a4,a6]
Generators	[-46:126:1]	Generators of the group modulo torsion
j	53881287098704/8059550625	j-invariant
L	4.9750563176108	L(r)(E,1)/r!
Ω	0.573544215099	Real period
R	0.72285277325308	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	31920g2 127680be2 47880o2 79800d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15960n2

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

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Quadratic twists for elliptic curve 15960n2

-4	8	-3	5	-7
31920g2	127680be2	47880o2	79800d2	111720bl2

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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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