Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480u |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
60645467750400 = 220 · 34 · 52 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36161,-2632161] |
[a1,a2,a3,a4,a6] |
j |
19948814692561/231344100 |
j-invariant |
L |
1.3858073744606 |
L(r)(E,1)/r! |
Ω |
0.34645184361515 |
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 |
12480bl4 390b3 37440cb3 62400z3 |
Quadratic twists by: -4 8 -3 5 |