Atkin-Lehner |
2- 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31122bb |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-47802668842236672 = -1 · 28 · 37 · 72 · 136 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 13+ 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17924,-10555225] |
[a1,a2,a3,a4,a6] |
j |
-873530903492857/65572933939968 |
j-invariant |
L |
5.0491613641222 |
L(r)(E,1)/r! |
Ω |
0.15778629262875 |
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 |
10374f2 |
Quadratic twists by: -3 |