Atkin-Lehner |
2- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008cs |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9226113700364288 = 215 · 78 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2087084,1160525168] |
[a1,a2,a3,a4,a6] |
j |
30682699258160954376/281558645641 |
j-invariant |
L |
2.9597290921428 |
L(r)(E,1)/r! |
Ω |
0.36996614582295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99008bw4 49504t4 |
Quadratic twists by: -4 8 |