Cremona's table of elliptic curves

15936 = 2⁶ · 3 · 83

Field	Data	Notes
Atkin-Lehner	2+ 3- 83-	Signs for the Atkin-Lehner involutions
Class	15936n	Isogeny class
Conductor	15936	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	3047473152 = 214 · 33 · 832	Discriminant
Eigenvalues	2+ 3- -4  4 -4  2  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-465,-2961]	[a1,a2,a3,a4,a6]
Generators	[-9:24:1]	Generators of the group modulo torsion
j	680136784/186003	j-invariant
L	5.1260509015754	L(r)(E,1)/r!
Ω	1.0490391945003	Real period
R	0.8144040960607	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	15936s2 996a2 47808r2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 15936n2

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	4	-4	2	6	2	-8	6	-8	2	-6	-2	-12	-4	-12	-2	10	-8	14	6	-	4	6

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Quadratic twists for elliptic curve 15936n2

-4	8	-3
15936s2	996a2	47808r2

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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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