Atkin-Lehner |
3- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
50325t |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-383082765849609375 = -1 · 3 · 510 · 118 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-62438,30372867] |
[a1,a2,a3,a4,a6] |
Generators |
[2870042021459067:68859329839024360:4618250077077] |
Generators of the group modulo torsion |
j |
-1722864296274841/24517297014375 |
j-invariant |
L |
5.4379155418127 |
L(r)(E,1)/r! |
Ω |
0.25466662161598 |
Real period |
R |
21.353075276837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10065d1 |
Quadratic twists by: 5 |