Atkin-Lehner |
2+ 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
90168a |
Isogeny class |
Conductor |
90168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-195803959728 = -1 · 24 · 3 · 132 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -6 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-963,-23880] |
[a1,a2,a3,a4,a6] |
Generators |
[970:10205:8] |
Generators of the group modulo torsion |
j |
-256000/507 |
j-invariant |
L |
4.0757497068172 |
L(r)(E,1)/r! |
Ω |
0.40275326703294 |
Real period |
R |
5.0598592781172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922467 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
312a1 |
Quadratic twists by: 17 |