Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800dd |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-543750000 = -1 · 24 · 3 · 58 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -5 5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-758,7863] |
[a1,a2,a3,a4,a6] |
Generators |
[3:75:1] |
Generators of the group modulo torsion |
j |
-192914176/2175 |
j-invariant |
L |
4.9668179254711 |
L(r)(E,1)/r! |
Ω |
1.649746957621 |
Real period |
R |
1.5053271965518 |
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 |
8700e1 104400fg1 6960bb1 |
Quadratic twists by: -4 -3 5 |