Atkin-Lehner |
2- 3+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456t |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-967472396541886464 = -1 · 221 · 39 · 293 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 -6 -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2045331,1126877778] |
[a1,a2,a3,a4,a6] |
j |
-11737166732534979/12000168448 |
j-invariant |
L |
2.2171034095698 |
L(r)(E,1)/r! |
Ω |
0.27713786209377 |
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 |
16182b2 129456z1 |
Quadratic twists by: -4 -3 |