Atkin-Lehner |
2- 3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
63948d |
Isogeny class |
Conductor |
63948 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
2981133747216 = 24 · 38 · 734 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 1 3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12434,531321] |
[a1,a2,a3,a4,a6] |
j |
467928832/6561 |
j-invariant |
L |
4.8241348021463 |
L(r)(E,1)/r! |
Ω |
0.80402246572979 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63948e1 |
Quadratic twists by: 73 |