Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61920bz |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
174690561600 = 26 · 310 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5817,169576] |
[a1,a2,a3,a4,a6] |
j |
466566337216/3744225 |
j-invariant |
L |
2.0415958997233 |
L(r)(E,1)/r! |
Ω |
1.0207979473342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61920ce1 123840fr2 20640h1 |
Quadratic twists by: -4 8 -3 |