Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400ch |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-937024000000 = -1 · 212 · 56 · 114 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- -1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1008,48512] |
[a1,a2,a3,a4,a6] |
Generators |
[26:198:1] |
Generators of the group modulo torsion |
j |
-121 |
j-invariant |
L |
8.0239816187804 |
L(r)(E,1)/r! |
Ω |
0.75630011111024 |
Real period |
R |
1.7682534355741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3025e1 1936k1 48400cg2 |
Quadratic twists by: -4 5 -11 |