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
Δ	-5645376000000 = -1 · 212 · 36 · 56 · 112	Discriminant
Eigenvalues	2- 3- 5- -2 11- -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,4308,34976]	[a1,a2,a3,a4,a6]
Generators	[37:495:1]	Generators of the group modulo torsion
j	2961169856/1890625	j-invariant
L	4.9418208753748	L(r)(E,1)/r!
Ω	0.47331773330023	Real period
R	0.87006756203662	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	15840q2 31680l1 1760b2 79200bn2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15840bg2

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 15840bg2

-4	8	-3	5
15840q2	31680l1	1760b2	79200bn2

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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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