Atkin-Lehner |
2- 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
87600bb |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-19710000000000000 = -1 · 213 · 33 · 513 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,58992,3880512] |
[a1,a2,a3,a4,a6] |
j |
354744554039/307968750 |
j-invariant |
L |
2.0031704440486 |
L(r)(E,1)/r! |
Ω |
0.25039630768352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10950ba1 17520y1 |
Quadratic twists by: -4 5 |