Atkin-Lehner |
2- 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
79680bm |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
37001816860262400 = 225 · 312 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90659105,-332219984703] |
[a1,a2,a3,a4,a6] |
j |
314353338448506783273289/141150729600 |
j-invariant |
L |
0.39141425463738 |
L(r)(E,1)/r! |
Ω |
0.048926787077234 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680y4 19920m3 |
Quadratic twists by: -4 8 |