Atkin-Lehner |
2- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
32450w |
Isogeny class |
Conductor |
32450 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
136800 |
Modular degree for the optimal curve |
Δ |
-1462067200000000 = -1 · 219 · 58 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 0 5- -3 11- -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46930,4335697] |
[a1,a2,a3,a4,a6] |
Generators |
[169:-1185:1] |
Generators of the group modulo torsion |
j |
-29262179116305/3742892032 |
j-invariant |
L |
6.965989356129 |
L(r)(E,1)/r! |
Ω |
0.46401421082901 |
Real period |
R |
0.13168814308819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32450d1 |
Quadratic twists by: 5 |