Atkin-Lehner |
2- 3- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456bv |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
34712551264813056 = 216 · 36 · 293 · 313 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 0 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-157971,-22442542] |
[a1,a2,a3,a4,a6] |
j |
146005204837393/11625163184 |
j-invariant |
L |
2.8881814348046 |
L(r)(E,1)/r! |
Ω |
0.24068179773621 |
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 |
16182h2 14384d2 |
Quadratic twists by: -4 -3 |