Atkin-Lehner |
2- 3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550bl |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
155750509967062500 = 22 · 314 · 56 · 75 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-234913,-39594469] |
[a1,a2,a3,a4,a6] |
j |
91753989172452937/9968032637892 |
j-invariant |
L |
3.9309164469632 |
L(r)(E,1)/r! |
Ω |
0.21838424705353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650p1 1302f1 |
Quadratic twists by: -3 5 |