Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61920by |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
32 |
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 |
5.3754475992214 |
L(r)(E,1)/r! |
Ω |
0.67193094908606 |
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 |
61920bc2 123840cg1 20640g2 |
Quadratic twists by: -4 8 -3 |