Atkin-Lehner |
3- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
115989g |
Isogeny class |
Conductor |
115989 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8345025881526969 = 34 · 232 · 417 |
Discriminant |
Eigenvalues |
1 3- -2 2 2 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29773067,-62531766295] |
[a1,a2,a3,a4,a6] |
j |
614456687196531577/1756809 |
j-invariant |
L |
4.6534615723949 |
L(r)(E,1)/r! |
Ω |
0.064631414793905 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2829a2 |
Quadratic twists by: 41 |