Atkin-Lehner |
2+ 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93058f |
Isogeny class |
Conductor |
93058 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-6373178264231346176 = -1 · 222 · 7 · 177 · 232 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 2 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,181727,-117789315] |
[a1,a2,a3,a4,a6] |
Generators |
[9064495:2436455533:125] |
Generators of the group modulo torsion |
j |
27497120138487/264035631104 |
j-invariant |
L |
4.7087134237904 |
L(r)(E,1)/r! |
Ω |
0.11755934652526 |
Real period |
R |
10.01348163356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999886479 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5474a1 |
Quadratic twists by: 17 |