Atkin-Lehner |
2- 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490ce |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
240000 |
Modular degree for the optimal curve |
Δ |
-8403842493750 = -1 · 2 · 3 · 55 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -4 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4661,-186009] |
[a1,a2,a3,a4,a6] |
j |
-6321363049/4743750 |
j-invariant |
L |
0.55954854532755 |
L(r)(E,1)/r! |
Ω |
0.27977432300373 |
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 |
7590i1 |
Quadratic twists by: -11 |