Atkin-Lehner |
2+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
47200g |
Isogeny class |
Conductor |
47200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-11800000000 = -1 · 29 · 58 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 3 1 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20675,-1144250] |
[a1,a2,a3,a4,a6] |
j |
-122171605128/1475 |
j-invariant |
L |
0.79628375574701 |
L(r)(E,1)/r! |
Ω |
0.1990709389438 |
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 |
47200a1 94400bo1 9440f1 |
Quadratic twists by: -4 8 5 |