Atkin-Lehner |
3- 5- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
15405g |
Isogeny class |
Conductor |
15405 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
59205583517900625 = 312 · 54 · 134 · 792 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-122330,11572275] |
[a1,a2,a3,a4,a6] |
j |
202452368150178076321/59205583517900625 |
j-invariant |
L |
1.9594998617498 |
L(r)(E,1)/r! |
Ω |
0.32658331029163 |
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 |
46215g2 77025a2 |
Quadratic twists by: -3 5 |