Atkin-Lehner |
2- 13- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102544i |
Isogeny class |
Conductor |
102544 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
8543658448 = 24 · 133 · 172 · 292 |
Discriminant |
Eigenvalues |
2- 0 4 4 -6 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-568,2715] |
[a1,a2,a3,a4,a6] |
j |
1266626985984/533978653 |
j-invariant |
L |
3.5410974670703 |
L(r)(E,1)/r! |
Ω |
1.1803657438267 |
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 |
25636b1 |
Quadratic twists by: -4 |