Atkin-Lehner |
2- 3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440br |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6742434816000000 = 216 · 34 · 56 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-423380016,3353219052480] |
[a1,a2,a3,a4,a6] |
j |
2049060729827329230018537649/1646102250000 |
j-invariant |
L |
2.2093770968036 |
L(r)(E,1)/r! |
Ω |
0.18411480982835 |
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 |
14430bj3 |
Quadratic twists by: -4 |