Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200v |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-805942080000000 = -1 · 212 · 32 · 57 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11633,1444863] |
[a1,a2,a3,a4,a6] |
j |
-2720547136/12592845 |
j-invariant |
L |
3.49552077093 |
L(r)(E,1)/r! |
Ω |
0.43694009653034 |
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 |
55200bq2 110400a1 11040j4 |
Quadratic twists by: -4 8 5 |