Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400cg |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1659995174464000000 = -1 · 212 · 56 · 1110 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11- 1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-122008,-64081488] |
[a1,a2,a3,a4,a6] |
Generators |
[401911855377081372149146818:22587158269207991092969564314:125452923440515069875013] |
Generators of the group modulo torsion |
j |
-121 |
j-invariant |
L |
9.6423666913126 |
L(r)(E,1)/r! |
Ω |
0.1123322766572 |
Real period |
R |
42.918949825695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3025c2 1936l2 48400ch1 |
Quadratic twists by: -4 5 -11 |