Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59760k |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1161734400 = 28 · 37 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-687,6734] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:90:1] |
Generators of the group modulo torsion |
j |
192143824/6225 |
j-invariant |
L |
6.7476844180411 |
L(r)(E,1)/r! |
Ω |
1.5336263205833 |
Real period |
R |
1.0999557596581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000126 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29880m1 19920a1 |
Quadratic twists by: -4 -3 |