Atkin-Lehner |
2+ 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
106200j |
Isogeny class |
Conductor |
106200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-172044000000 = -1 · 28 · 36 · 56 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -4 -2 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62175,5967250] |
[a1,a2,a3,a4,a6] |
j |
-9115564624/59 |
j-invariant |
L |
1.8146321696705 |
L(r)(E,1)/r! |
Ω |
0.90731608546997 |
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 |
11800f1 4248g1 |
Quadratic twists by: -3 5 |