Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77064x |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1300752893666304 = 210 · 36 · 136 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32504,-1451904] |
[a1,a2,a3,a4,a6] |
j |
768400132/263169 |
j-invariant |
L |
2.19276889209 |
L(r)(E,1)/r! |
Ω |
0.36546147544277 |
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 |
456b2 |
Quadratic twists by: 13 |