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	15840bf	Isogeny class
Conductor	15840	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	69284160000 = 29 · 39 · 54 · 11	Discriminant
Eigenvalues	2- 3- 5-  0 11- -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-28587,-1860334]	[a1,a2,a3,a4,a6]
Generators	[123886:2027250:343]	Generators of the group modulo torsion
j	6922005943112/185625	j-invariant
L	5.369663836579	L(r)(E,1)/r!
Ω	0.36716232225605	Real period
R	7.3123840752296	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	15840bc3 31680ch4 5280a3 79200bj4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15840bf2

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	-4	-6	-8	2	10	4	4	-10	-4	-2	4	-16	-2	4	-16	14	-6

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Quadratic twists for elliptic curve 15840bf2

-4	8	-3	5
15840bc3	31680ch4	5280a3	79200bj4

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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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