Atkin-Lehner |
3- 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
121605m |
Isogeny class |
Conductor |
121605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3936505977855 = 32 · 5 · 117 · 672 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-36000,2624337] |
[a1,a2,a3,a4,a6] |
j |
2912566550041/2222055 |
j-invariant |
L |
1.5540588839513 |
L(r)(E,1)/r! |
Ω |
0.77702955879141 |
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 |
11055g2 |
Quadratic twists by: -11 |