Atkin-Lehner |
2- 3- 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
128340d |
Isogeny class |
Conductor |
128340 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
265552612261113600 = 28 · 314 · 52 · 234 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-644223,197472278] |
[a1,a2,a3,a4,a6] |
j |
158440022797936336/1422928520775 |
j-invariant |
L |
1.2465952112516 |
L(r)(E,1)/r! |
Ω |
0.31164945484522 |
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 |
42780g2 |
Quadratic twists by: -3 |