Atkin-Lehner |
3+ 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12255a |
Isogeny class |
Conductor |
12255 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
304124675625 = 36 · 54 · 192 · 432 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4313,103968] |
[a1,a2,a3,a4,a6] |
j |
8876043294138649/304124675625 |
j-invariant |
L |
0.96355285211654 |
L(r)(E,1)/r! |
Ω |
0.96355285211654 |
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 |
36765a2 61275n2 |
Quadratic twists by: -3 5 |