Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712eo |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4449702552602148864 = 226 · 38 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-900876,-313074160] |
[a1,a2,a3,a4,a6] |
j |
423108074414017/23284318464 |
j-invariant |
L |
2.4879411726574 |
L(r)(E,1)/r! |
Ω |
0.15549629275989 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107712ba2 26928bc2 35904bt2 |
Quadratic twists by: -4 8 -3 |