Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600ei |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-36158400000000 = -1 · 212 · 36 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 0 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,-301750] |
[a1,a2,a3,a4,a6] |
Generators |
[149:1568:1] |
Generators of the group modulo torsion |
j |
-117649/775 |
j-invariant |
L |
8.5096707890243 |
L(r)(E,1)/r! |
Ω |
0.27293421986051 |
Real period |
R |
3.8973084645711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6975k1 12400o1 22320bz1 |
Quadratic twists by: -4 -3 5 |