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	15960m	Isogeny class
Conductor	15960	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	11233222560000 = 28 · 34 · 54 · 74 · 192	Discriminant
Eigenvalues	2- 3+ 5- 7-  4  6  2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-11380,442372]	[a1,a2,a3,a4,a6]
j	636720298643536/43879775625	j-invariant
L	2.816213852601	L(r)(E,1)/r!
Ω	0.70405346315026	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	31920n2 127680cq2 47880m2 79800j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15960m2

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

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Quadratic twists for elliptic curve 15960m2

-4	8	-3	5	-7
31920n2	127680cq2	47880m2	79800j2	111720bs2

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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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