Atkin-Lehner |
2- 3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744bn |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
777517387776 = 212 · 36 · 173 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 4 6 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2496,22448] |
[a1,a2,a3,a4,a6] |
j |
575930368/260389 |
j-invariant |
L |
7.2412598667801 |
L(r)(E,1)/r! |
Ω |
0.80458482768271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8109g1 14416j1 |
Quadratic twists by: -4 -3 |