Atkin-Lehner |
2- 3+ 7+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36582h |
Isogeny class |
Conductor |
36582 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1784323632 = -1 · 24 · 3 · 72 · 132 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 0 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,129,-1899] |
[a1,a2,a3,a4,a6] |
j |
237291625871/1784323632 |
j-invariant |
L |
5.9181146242338 |
L(r)(E,1)/r! |
Ω |
0.73976432802968 |
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 |
109746e2 |
Quadratic twists by: -3 |