Atkin-Lehner |
3+ 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8385b |
Isogeny class |
Conductor |
8385 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15819350625 = 34 · 54 · 132 · 432 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3228,69003] |
[a1,a2,a3,a4,a6] |
j |
3721641121835209/15819350625 |
j-invariant |
L |
1.2467617320031 |
L(r)(E,1)/r! |
Ω |
1.2467617320031 |
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 |
25155m2 41925k2 109005f2 |
Quadratic twists by: -3 5 13 |