Atkin-Lehner |
2- 3- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
65142bc |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4491757701435312 = 24 · 311 · 72 · 114 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9143510,-10639572811] |
[a1,a2,a3,a4,a6] |
j |
115967146737944508441625/6161533198128 |
j-invariant |
L |
5.5564997274869 |
L(r)(E,1)/r! |
Ω |
0.086820308306432 |
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 |
21714f2 |
Quadratic twists by: -3 |