Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496dn |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-5119972681449472 = -1 · 220 · 79 · 112 |
Discriminant |
Eigenvalues |
2- -2 2 7- 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40703,1378047] |
[a1,a2,a3,a4,a6] |
j |
704969/484 |
j-invariant |
L |
1.087809026999 |
L(r)(E,1)/r! |
Ω |
0.27195225675266 |
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 |
34496t1 8624t1 34496dk1 |
Quadratic twists by: -4 8 -7 |