Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800k |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
-728000000 = -1 · 29 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -5 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2408,-46312] |
[a1,a2,a3,a4,a6] |
j |
-193100552/91 |
j-invariant |
L |
1.3629757465483 |
L(r)(E,1)/r! |
Ω |
0.34074393436889 |
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 |
72800e1 2912d1 |
Quadratic twists by: -4 5 |