Atkin-Lehner |
2- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63580a |
Isogeny class |
Conductor |
63580 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
233651667920 = 24 · 5 · 112 · 176 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 11+ 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1541,760] |
[a1,a2,a3,a4,a6] |
j |
1048576/605 |
j-invariant |
L |
0.84316531879372 |
L(r)(E,1)/r! |
Ω |
0.84316531681063 |
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 |
220b1 |
Quadratic twists by: 17 |