Atkin-Lehner |
2- 11+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
123728m |
Isogeny class |
Conductor |
123728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
44018366750572544 = 214 · 11 · 194 · 374 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11+ 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168491,-24632230] |
[a1,a2,a3,a4,a6] |
j |
129149844530258817/10746671569964 |
j-invariant |
L |
0.47378175082945 |
L(r)(E,1)/r! |
Ω |
0.23689061673397 |
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 |
15466e3 |
Quadratic twists by: -4 |