Atkin-Lehner |
2+ 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400k |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4855140000000000 = -1 · 211 · 38 · 510 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22592,-3094688] |
[a1,a2,a3,a4,a6] |
j |
39849102862/151723125 |
j-invariant |
L |
1.7584958859984 |
L(r)(E,1)/r! |
Ω |
0.21981198574604 |
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 |
22200u3 8880f4 |
Quadratic twists by: -4 5 |