Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450hc |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
75046563281250 = 2 · 38 · 58 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14180,502197] |
[a1,a2,a3,a4,a6] |
Generators |
[310:633:8] |
Generators of the group modulo torsion |
j |
75625/18 |
j-invariant |
L |
11.320222671072 |
L(r)(E,1)/r! |
Ω |
0.57592599130492 |
Real period |
R |
3.275948311054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150s1 54450ch1 54450do1 |
Quadratic twists by: -3 5 -11 |