Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440do |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1010394000000000000 = 213 · 38 · 512 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1111323,448328522] |
[a1,a2,a3,a4,a6] |
j |
50834334659676121/338378906250 |
j-invariant |
L |
2.231596875405 |
L(r)(E,1)/r! |
Ω |
0.27894960944427 |
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 |
6930z3 18480cl3 |
Quadratic twists by: -4 -3 |