Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200cl |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
642735000000000 = 29 · 35 · 510 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 -2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60008,5504988] |
[a1,a2,a3,a4,a6] |
j |
2987228332808/80341875 |
j-invariant |
L |
5.10742106086 |
L(r)(E,1)/r! |
Ω |
0.51074210589324 |
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 |
55200c2 110400be2 11040c2 |
Quadratic twists by: -4 8 5 |