Atkin-Lehner |
2+ 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312bn |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1968168763392 = -1 · 230 · 3 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 4 3 3 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2879,32927] |
[a1,a2,a3,a4,a6] |
j |
10063705679/7507968 |
j-invariant |
L |
8.4814113274314 |
L(r)(E,1)/r! |
Ω |
0.53008827178359 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117312ch1 3666l1 |
Quadratic twists by: -4 8 |