Atkin-Lehner |
2- 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bd |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14362583040000 = 216 · 36 · 54 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-478752776,4032108971760] |
[a1,a2,a3,a4,a6] |
j |
2962768241099512908710145289/3506490000 |
j-invariant |
L |
0.84814701332718 |
L(r)(E,1)/r! |
Ω |
0.21203664771677 |
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 |
14430m3 |
Quadratic twists by: -4 |