Atkin-Lehner |
2- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23920w |
Isogeny class |
Conductor |
23920 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-30068625972736000 = -1 · 212 · 53 · 136 · 233 |
Discriminant |
Eigenvalues |
2- 2 5- 1 0 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,70635,4147037] |
[a1,a2,a3,a4,a6] |
Generators |
[164:4485:1] |
Generators of the group modulo torsion |
j |
9515189988491264/7340973137875 |
j-invariant |
L |
8.5614498190724 |
L(r)(E,1)/r! |
Ω |
0.23853056433317 |
Real period |
R |
0.66467526902928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1495c2 95680bg2 119600q2 |
Quadratic twists by: -4 8 5 |