Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
48050b |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-6878153527750000 = -1 · 24 · 56 · 317 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16517,-4068859] |
[a1,a2,a3,a4,a6] |
j |
-35937/496 |
j-invariant |
L |
1.4387960730944 |
L(r)(E,1)/r! |
Ω |
0.17984950918053 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1922d1 1550a1 |
Quadratic twists by: 5 -31 |