Atkin-Lehner |
2+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67280f |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
6899950523600 = 24 · 52 · 297 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203522,-35339661] |
[a1,a2,a3,a4,a6] |
j |
97960237056/725 |
j-invariant |
L |
1.798195443862 |
L(r)(E,1)/r! |
Ω |
0.22477443106845 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33640g1 2320d1 |
Quadratic twists by: -4 29 |