Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4550f |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
5961599221760000000 = 222 · 57 · 72 · 135 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -6 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-847442,276549716] |
[a1,a2,a3,a4,a6] |
j |
4307585705106105969/381542350192640 |
j-invariant |
L |
0.93302337939432 |
L(r)(E,1)/r! |
Ω |
0.23325584484858 |
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 |
36400be1 40950eh1 910f1 31850t1 |
Quadratic twists by: -4 -3 5 -7 |