Atkin-Lehner |
2- 3+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832z |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
46739870318592 = 217 · 312 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-115489,15141313] |
[a1,a2,a3,a4,a6] |
j |
1299688897294226/356596911 |
j-invariant |
L |
1.2455033167591 |
L(r)(E,1)/r! |
Ω |
0.62275185926671 |
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 |
128832u4 32208g4 |
Quadratic twists by: -4 8 |