Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672ci |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
23583020032 = 210 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 11- 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1936,-31944] |
[a1,a2,a3,a4,a6] |
Generators |
[78:540:1] |
Generators of the group modulo torsion |
j |
442368/13 |
j-invariant |
L |
2.8438685814833 |
L(r)(E,1)/r! |
Ω |
0.72103050299957 |
Real period |
R |
3.9441724035318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998925678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100672e1 25168be1 832h1 |
Quadratic twists by: -4 8 -11 |