Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920bc |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-20124352696320 = -1 · 212 · 312 · 5 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 -2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13692,-653344] |
[a1,a2,a3,a4,a6] |
j |
-95068558144/6739605 |
j-invariant |
L |
0.87911008179873 |
L(r)(E,1)/r! |
Ω |
0.21977752108387 |
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 |
61920by2 123840bt1 20640q2 |
Quadratic twists by: -4 8 -3 |