Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200cb |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
385641000000000 = 29 · 36 · 59 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-704208,-227220588] |
[a1,a2,a3,a4,a6] |
j |
38621327045608/385641 |
j-invariant |
L |
0.65922628401155 |
L(r)(E,1)/r! |
Ω |
0.16480657153361 |
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 |
55200cq2 110400jn2 55200bg2 |
Quadratic twists by: -4 8 5 |