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	15840bg	Isogeny class
Conductor	15840	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	85386312000 = 26 · 36 · 53 · 114	Discriminant
Eigenvalues	2- 3- 5- -2 11- -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1137,4484]	[a1,a2,a3,a4,a6]
Generators	[-7:110:1]	Generators of the group modulo torsion
j	3484156096/1830125	j-invariant
L	4.9418208753748	L(r)(E,1)/r!
Ω	0.94663546660047	Real period
R	0.43503378101831	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	15840q1 31680l2 1760b1 79200bn1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15840bg1

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

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Quadratic twists for elliptic curve 15840bg1

-4	8	-3	5
15840q1	31680l2	1760b1	79200bn1

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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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