Atkin-Lehner |
2+ 3- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110v |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-233162849700 = -1 · 22 · 39 · 52 · 113 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -3 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4635,124825] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-301:1] [-530:3235:8] |
Generators of the group modulo torsion |
j |
-15107691357361/319839300 |
j-invariant |
L |
7.3495724245972 |
L(r)(E,1)/r! |
Ω |
0.99132099862033 |
Real period |
R |
0.15445662141425 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29370w1 |
Quadratic twists by: -3 |