Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440do |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
501956755356672000 = 213 · 314 · 53 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1373403,-618566902] |
[a1,a2,a3,a4,a6] |
j |
95946737295893401/168104301750 |
j-invariant |
L |
2.231596875405 |
L(r)(E,1)/r! |
Ω |
0.13947480472214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930z4 18480cl4 |
Quadratic twists by: -4 -3 |