Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520n |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
328982944808960 = 220 · 5 · 137 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18083,338338] |
[a1,a2,a3,a4,a6] |
j |
33076161/16640 |
j-invariant |
L |
0.95857248120721 |
L(r)(E,1)/r! |
Ω |
0.4792862406036 |
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 |
1690a1 54080cs1 121680em1 67600be1 |
Quadratic twists by: -4 8 -3 5 |