Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920bc |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
1354190400 = 26 · 39 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 -2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13917,-631924] |
[a1,a2,a3,a4,a6] |
j |
6389297223616/29025 |
j-invariant |
L |
0.87911008179873 |
L(r)(E,1)/r! |
Ω |
0.43955504216775 |
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 |
61920by1 123840bt2 20640q1 |
Quadratic twists by: -4 8 -3 |