Atkin-Lehner |
2- 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
58032z |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-61107696 = -1 · 24 · 36 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 2 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8337,-292997] |
[a1,a2,a3,a4,a6] |
j |
-5494214435584/5239 |
j-invariant |
L |
0.99925671430276 |
L(r)(E,1)/r! |
Ω |
0.24981417859012 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14508d1 6448h1 |
Quadratic twists by: -4 -3 |