Cremona's table of elliptic curves

15840 = 2⁵ · 3² · 5 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11+	Signs for the Atkin-Lehner involutions
Class	15840v	Isogeny class
Conductor	15840	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	13302558720 = 212 · 310 · 5 · 11	Discriminant
Eigenvalues	2- 3- 5+ -4 11+  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2748,55168]	[a1,a2,a3,a4,a6]
Generators	[-22:324:1]	Generators of the group modulo torsion
j	768575296/4455	j-invariant
L	3.7765223729032	L(r)(E,1)/r!
Ω	1.26545312825	Real period
R	0.74608104571322	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	15840z2 31680ef1 5280i2 79200bd3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15840v3

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	2	4	0	-6	-8	2	2	4	0	-6	-4	2	4	12	14	-8	-8	14	10

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Quadratic twists for elliptic curve 15840v3

-4	8	-3	5
15840z2	31680ef1	5280i2	79200bd3

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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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