Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400fs |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6500352000000 = 218 · 3 · 56 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24833,1509537] |
[a1,a2,a3,a4,a6] |
Generators |
[37:800:1] [103:184:1] |
Generators of the group modulo torsion |
j |
413493625/1587 |
j-invariant |
L |
9.7178038885133 |
L(r)(E,1)/r! |
Ω |
0.7548265396428 |
Real period |
R |
3.2185553170927 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400dx2 27600cn2 4416y2 |
Quadratic twists by: -4 8 5 |