Cremona's table of elliptic curves

10608 = 2⁴ · 3 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 13- 17-	Signs for the Atkin-Lehner involutions
Class	10608ba	Isogeny class
Conductor	10608	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-30087055709687808 = -1 · 212 · 34 · 13 · 178	Discriminant
Eigenvalues	2- 3- -2  0 -4 13- 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,62016,5878260]	[a1,a2,a3,a4,a6]
Generators	[15:2610:1]	Generators of the group modulo torsion
j	6439735268725823/7345472585373	j-invariant
L	4.6111305037612	L(r)(E,1)/r!
Ω	0.24770696286763	Real period
R	4.653815995299	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	663b6 42432bl5 31824bk5	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 10608ba6

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

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Quadratic twists for elliptic curve 10608ba6

-4	8	-3
663b6	42432bl5	31824bk5

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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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