Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080dt |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
6528000 |
Modular degree for the optimal curve |
Δ |
-2.3351271467858E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 0 -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6839532,6923887344] |
[a1,a2,a3,a4,a6] |
Generators |
[-2922:44280:1] [358:67240:1] |
Generators of the group modulo torsion |
j |
-54860737570622424/362050628125 |
j-invariant |
L |
10.582445688343 |
L(r)(E,1)/r! |
Ω |
0.1772378781923 |
Real period |
R |
0.29853792526346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080ds1 59040bg1 118080df1 |
Quadratic twists by: -4 8 -3 |