Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520n |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1336493213286400 = 216 · 52 · 138 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-234403,43645602] |
[a1,a2,a3,a4,a6] |
j |
72043225281/67600 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
1690a2 54080cs2 121680em2 67600be2 |
Quadratic twists by: -4 8 -3 5 |