Atkin-Lehner |
2- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
111328u |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
131712 |
Modular degree for the optimal curve |
Δ |
1676496367616 = 212 · 78 · 71 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ 0 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3201,32369] |
[a1,a2,a3,a4,a6] |
j |
153664/71 |
j-invariant |
L |
1.5055610723219 |
L(r)(E,1)/r! |
Ω |
0.75278031361496 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111328c1 111328z1 |
Quadratic twists by: -4 -7 |