Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496ba |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
31289225347072 = 215 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ 3 0 7- 11+ 1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83020,-9203152] |
[a1,a2,a3,a4,a6] |
j |
39411764973000/19487171 |
j-invariant |
L |
5.0627824479346 |
L(r)(E,1)/r! |
Ω |
0.28126569155243 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496bv1 17248v1 34496c1 |
Quadratic twists by: -4 8 -7 |