Atkin-Lehner |
2- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10736h |
Isogeny class |
Conductor |
10736 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
665116672 = 213 · 113 · 61 |
Discriminant |
Eigenvalues |
2- -1 -2 -4 11- -3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-584,5488] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:88:1] |
Generators of the group modulo torsion |
j |
5386984777/162382 |
j-invariant |
L |
2.0912898322117 |
L(r)(E,1)/r! |
Ω |
1.6081700121809 |
Real period |
R |
0.10836799055093 |
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 |
1342a1 42944r1 96624bh1 118096bf1 |
Quadratic twists by: -4 8 -3 -11 |