Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
50460n |
Isogeny class |
Conductor |
50460 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
3241596755987280 = 24 · 34 · 5 · 298 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105405,12848580] |
[a1,a2,a3,a4,a6] |
j |
13608288256/340605 |
j-invariant |
L |
5.3603322292389 |
L(r)(E,1)/r! |
Ω |
0.44669435242115 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1740b1 |
Quadratic twists by: 29 |