Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725cb |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
6070566059341875 = 35 · 54 · 72 · 138 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 1 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-179651,29052623] |
[a1,a2,a3,a4,a6] |
Generators |
[183:-1613:1] |
Generators of the group modulo torsion |
j |
1257715225/11907 |
j-invariant |
L |
8.1377440174469 |
L(r)(E,1)/r! |
Ω |
0.42691451044767 |
Real period |
R |
0.63539216205078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725u1 88725cm1 |
Quadratic twists by: 5 13 |