Atkin-Lehner |
2+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
8050f |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-1.1047130280892E+20 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 3 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,916335,-376092395] |
[a1,a2,a3,a4,a6] |
j |
3403656999841015798655/4418852112356605952 |
j-invariant |
L |
0.80155427758646 |
L(r)(E,1)/r! |
Ω |
0.10019428469831 |
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 |
64400bp1 72450dl1 8050t1 56350o1 |
Quadratic twists by: -4 -3 5 -7 |