Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760bq |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13520732160000 = 220 · 3 · 54 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 6 13+ -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-851776,-302861260] |
[a1,a2,a3,a4,a6] |
j |
16685547865377876289/3300960000 |
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 |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970i2 |
Quadratic twists by: -4 |