Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
71148bk |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
69609003588432 = 24 · 34 · 79 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100613,-12310740] |
[a1,a2,a3,a4,a6] |
j |
131072000/81 |
j-invariant |
L |
3.2168664192373 |
L(r)(E,1)/r! |
Ω |
0.26807220077446 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71148k1 71148bl1 |
Quadratic twists by: -7 -11 |