Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34720v |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
3896496161062400 = 29 · 52 · 73 · 316 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81536,-8415964] |
[a1,a2,a3,a4,a6] |
j |
117086623862068232/7610344064575 |
j-invariant |
L |
5.1062525179569 |
L(r)(E,1)/r! |
Ω |
0.28368069544163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34720d2 69440cc2 |
Quadratic twists by: -4 8 |