Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63648w |
Isogeny class |
Conductor |
63648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
38738336832 = 26 · 36 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3- -4 0 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58917,5504380] |
[a1,a2,a3,a4,a6] |
j |
484772621703616/830297 |
j-invariant |
L |
1.9688915217224 |
L(r)(E,1)/r! |
Ω |
0.98444576193329 |
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 |
63648m1 127296l2 7072b1 |
Quadratic twists by: -4 8 -3 |