Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600ch |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
1433250000 = 24 · 32 · 56 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5283,-149562] |
[a1,a2,a3,a4,a6] |
j |
65239066624/5733 |
j-invariant |
L |
2.2399319921155 |
L(r)(E,1)/r! |
Ω |
0.55998299851073 |
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 |
109200x1 2184e1 |
Quadratic twists by: -4 5 |