Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
81900bb |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-61978819470750000 = -1 · 24 · 311 · 56 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70500,-13977875] |
[a1,a2,a3,a4,a6] |
Generators |
[81330:8197475:8] |
Generators of the group modulo torsion |
j |
-212629504000/340075827 |
j-invariant |
L |
7.8784884540466 |
L(r)(E,1)/r! |
Ω |
0.1387645111847 |
Real period |
R |
7.0969951060685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27300t1 3276e1 |
Quadratic twists by: -3 5 |