Atkin-Lehner |
2- 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76320u |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-41727960000 = -1 · 26 · 39 · 54 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 6 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27,-9828] |
[a1,a2,a3,a4,a6] |
j |
1728/33125 |
j-invariant |
L |
1.0558324136564 |
L(r)(E,1)/r! |
Ω |
0.52791620496583 |
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 |
76320a1 76320f1 |
Quadratic twists by: -4 -3 |