Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760bq |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-234766938931200 = -1 · 228 · 32 · 52 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 6 13+ -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53056,-4778956] |
[a1,a2,a3,a4,a6] |
j |
-4032510095423809/57316147200 |
j-invariant |
L |
5.0288437770791 |
L(r)(E,1)/r! |
Ω |
0.15715136861031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970i1 |
Quadratic twists by: -4 |