Atkin-Lehner |
2- 3- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63336t |
Isogeny class |
Conductor |
63336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-16380082992 = -1 · 24 · 3 · 74 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 6 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,629,1262] |
[a1,a2,a3,a4,a6] |
j |
1717374580736/1023755187 |
j-invariant |
L |
6.0463056120349 |
L(r)(E,1)/r! |
Ω |
0.75578820153171 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672e1 |
Quadratic twists by: -4 |