Atkin-Lehner |
2- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
25850p |
Isogeny class |
Conductor |
25850 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
41981292052480000 = 230 · 54 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- 2 11- 5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-405363,-98881183] |
[a1,a2,a3,a4,a6] |
j |
11786261648750101825/67170067283968 |
j-invariant |
L |
5.6781755997973 |
L(r)(E,1)/r! |
Ω |
0.18927251999323 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
25850c1 |
Quadratic twists by: 5 |