Atkin-Lehner |
2- 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63550bc |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
3816971875000 = 23 · 58 · 313 · 41 |
Discriminant |
Eigenvalues |
2- 1 5- 5 -3 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4138,-41108] |
[a1,a2,a3,a4,a6] |
j |
20060497345/9771448 |
j-invariant |
L |
7.5026694487139 |
L(r)(E,1)/r! |
Ω |
0.62522245443468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
63550e1 |
Quadratic twists by: 5 |