Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400ii |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-646875000000 = -1 · 26 · 32 · 511 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 4 0 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73133,7588113] |
[a1,a2,a3,a4,a6] |
j |
-43258336804864/646875 |
j-invariant |
L |
3.330155933155 |
L(r)(E,1)/r! |
Ω |
0.83253902892239 |
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 |
110400e1 27600bq1 22080ca1 |
Quadratic twists by: -4 8 5 |