Atkin-Lehner |
2+ 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850z |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-177101437500000000 = -1 · 28 · 36 · 512 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,140374,421148] |
[a1,a2,a3,a4,a6] |
j |
19577992591125359/11334492000000 |
j-invariant |
L |
2.304948009885 |
L(r)(E,1)/r! |
Ω |
0.19207900081456 |
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 |
8970m1 |
Quadratic twists by: 5 |