Atkin-Lehner |
2- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
48800p |
Isogeny class |
Conductor |
48800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
54400 |
Modular degree for the optimal curve |
Δ |
-61000000000 = -1 · 29 · 59 · 61 |
Discriminant |
Eigenvalues |
2- 2 5- -2 -2 -5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6208,-186588] |
[a1,a2,a3,a4,a6] |
j |
-26463592/61 |
j-invariant |
L |
1.0755381419485 |
L(r)(E,1)/r! |
Ω |
0.26888453570476 |
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 |
48800g1 97600bc1 48800h1 |
Quadratic twists by: -4 8 5 |