Atkin-Lehner |
3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11925p |
Isogeny class |
Conductor |
11925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-603703125 = -1 · 36 · 56 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,70,-1178] |
[a1,a2,a3,a4,a6] |
j |
3375/53 |
j-invariant |
L |
1.5911152023377 |
L(r)(E,1)/r! |
Ω |
0.79555760116885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1325c1 477a1 |
Quadratic twists by: -3 5 |