Atkin-Lehner |
3- 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
57525k |
Isogeny class |
Conductor |
57525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-2278529296875 = -1 · 32 · 59 · 133 · 59 |
Discriminant |
Eigenvalues |
1 3- 5- -1 -5 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1951,79673] |
[a1,a2,a3,a4,a6] |
j |
-420189749/1166607 |
j-invariant |
L |
2.891434960164 |
L(r)(E,1)/r! |
Ω |
0.72285874053898 |
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 |
57525f1 |
Quadratic twists by: 5 |