Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920cz |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6.8470769278218E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5316494403,149200642988098] |
[a1,a2,a3,a4,a6] |
j |
5565604209893236690185614401/229307220930246900000 |
j-invariant |
L |
1.5312108284786 |
L(r)(E,1)/r! |
Ω |
0.047850379621093 |
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 |
14490n3 38640cu4 |
Quadratic twists by: -4 -3 |