Atkin-Lehner |
2- 3- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20124f |
Isogeny class |
Conductor |
20124 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
174949362432 = 28 · 37 · 132 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-266295,52892318] |
[a1,a2,a3,a4,a6] |
j |
11190390833554000/937443 |
j-invariant |
L |
1.5522139565096 |
L(r)(E,1)/r! |
Ω |
0.77610697825481 |
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 |
80496bp2 6708d2 |
Quadratic twists by: -4 -3 |