Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200bf |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
1936530399283200 = 211 · 38 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 4 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56595,-4729970] |
[a1,a2,a3,a4,a6] |
j |
93170/9 |
j-invariant |
L |
1.8687155365973 |
L(r)(E,1)/r! |
Ω |
0.31145259996314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400ds1 88200hq1 88200by1 |
Quadratic twists by: -3 5 -7 |