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	576	Product of Tamagawa factors cp
deg	1843200	Modular degree for the optimal curve
Δ	7.9541450724017E+22	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0 -6 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-10802876,1624103040]	[a1,a2,a3,a4,a6]
Generators	[-1988:123480:1]	Generators of the group modulo torsion
j	544630502003833879075024/310708791890691829425	j-invariant
L	5.3832226652447	L(r)(E,1)/r!
Ω	0.093007005466775	Real period
R	0.40194274122954	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	31920c1 127680bp1 47880bn1 79800x1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15960f1

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 15960f1

-4	8	-3	5	-7
31920c1	127680bp1	47880bn1	79800x1	111720o1

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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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