Atkin-Lehner |
3- 5+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
67575i |
Isogeny class |
Conductor |
67575 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
5939208984375 = 33 · 512 · 17 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ 1 0 1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25776,1586323] |
[a1,a2,a3,a4,a6] |
j |
121206534717169/380109375 |
j-invariant |
L |
4.5596840967459 |
L(r)(E,1)/r! |
Ω |
0.75994734942795 |
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 |
13515a1 |
Quadratic twists by: 5 |