Atkin-Lehner |
2- 3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080bi |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
651636417600000000 = 212 · 32 · 58 · 72 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-237840,-21938688] |
[a1,a2,a3,a4,a6] |
j |
363262258500719761/159090922265625 |
j-invariant |
L |
1.8003813665508 |
L(r)(E,1)/r! |
Ω |
0.22504767080331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
3255f3 |
Quadratic twists by: -4 |