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	15840be	Isogeny class
Conductor	15840	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	8314099200 = 29 · 310 · 52 · 11	Discriminant
Eigenvalues	2- 3- 5-  0 11- -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-26427,-1653554]	[a1,a2,a3,a4,a6]
Generators	[230:2106:1]	Generators of the group modulo torsion
j	5468520153032/22275	j-invariant
L	5.3666538867522	L(r)(E,1)/r!
Ω	0.37444470587014	Real period
R	3.5830750192349	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	15840p3 31680g4 5280f3 79200bi4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15840be2

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

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Quadratic twists for elliptic curve 15840be2

-4	8	-3	5
15840p3	31680g4	5280f3	79200bi4

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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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