Atkin-Lehner |
2+ 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600q |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11094000000000 = 210 · 3 · 59 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6208,100912] |
[a1,a2,a3,a4,a6] |
j |
13231796/5547 |
j-invariant |
L |
1.2996602603391 |
L(r)(E,1)/r! |
Ω |
0.64983013048539 |
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 |
25800bj2 51600bg2 |
Quadratic twists by: -4 5 |