Atkin-Lehner |
2- 3+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
104442z |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
176946676537878 = 2 · 34 · 139 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 4 -1 3 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27466,-1642399] |
[a1,a2,a3,a4,a6] |
j |
474734543401/36659142 |
j-invariant |
L |
5.9626457258697 |
L(r)(E,1)/r! |
Ω |
0.37266540604569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8034a1 |
Quadratic twists by: 13 |