Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416dp |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6696068245880832 = -1 · 220 · 33 · 72 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57420,-6599024] |
[a1,a2,a3,a4,a6] |
j |
-2958077788875/946054564 |
j-invariant |
L |
0.60692787921897 |
L(r)(E,1)/r! |
Ω |
0.15173196981268 |
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 |
52416p2 13104bg2 52416do4 |
Quadratic twists by: -4 8 -3 |