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	15960c	Isogeny class
Conductor	15960	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	135168	Modular degree for the optimal curve
Δ	166574707031250000 = 24 · 33 · 516 · 7 · 192	Discriminant
Eigenvalues	2+ 3- 5+ 7+  0 -2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-152951,11970174]	[a1,a2,a3,a4,a6]
j	24732244498181085184/10410919189453125	j-invariant
L	1.7487759844325	L(r)(E,1)/r!
Ω	0.29146266407208	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	31920e1 127680z1 47880bj1 79800bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15960c1

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

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Quadratic twists for elliptic curve 15960c1

-4	8	-3	5	-7
31920e1	127680z1	47880bj1	79800bc1	111720m1

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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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