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	15840m	Isogeny class
Conductor	15840	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	27097804800 = 212 · 37 · 52 · 112	Discriminant
Eigenvalues	2+ 3- 5+  2 11- -6  0  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3468,-78208]	[a1,a2,a3,a4,a6]
Generators	[-34:20:1]	Generators of the group modulo torsion
j	1544804416/9075	j-invariant
L	4.8934594901077	L(r)(E,1)/r!
Ω	0.6223481909407	Real period
R	0.98286207812202	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	15840e2 31680dk1 5280l2 79200ec2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15840m2

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

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Quadratic twists for elliptic curve 15840m2

-4	8	-3	5
15840e2	31680dk1	5280l2	79200ec2

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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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