Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725cl |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
486423562447265625 = 34 · 59 · 72 · 137 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-414138,-96971733] |
[a1,a2,a3,a4,a6] |
j |
833237621/51597 |
j-invariant |
L |
1.5114162183509 |
L(r)(E,1)/r! |
Ω |
0.18892703928177 |
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 |
88725bd1 6825k1 |
Quadratic twists by: 5 13 |