Atkin-Lehner |
2- 5- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55120v |
Isogeny class |
Conductor |
55120 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
476942336000000 = 218 · 56 · 133 · 53 |
Discriminant |
Eigenvalues |
2- 2 5- 4 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33480,-2099728] |
[a1,a2,a3,a4,a6] |
j |
1013288430066121/116441000000 |
j-invariant |
L |
6.400505071771 |
L(r)(E,1)/r! |
Ω |
0.35558361504407 |
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 |
6890h1 |
Quadratic twists by: -4 |