Atkin-Lehner |
2- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
73346w |
Isogeny class |
Conductor |
73346 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-17347329512786 = -1 · 2 · 73 · 138 · 31 |
Discriminant |
Eigenvalues |
2- -1 1 7- -2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5320,135819] |
[a1,a2,a3,a4,a6] |
j |
3449795831/3593954 |
j-invariant |
L |
2.7466758853466 |
L(r)(E,1)/r! |
Ω |
0.45777931176565 |
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 |
5642a1 |
Quadratic twists by: 13 |