Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5550w |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
Δ |
2273280000000000 = 221 · 3 · 510 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1764388,-902800219] |
[a1,a2,a3,a4,a6] |
j |
62202232222815625/232783872 |
j-invariant |
L |
2.7508722468331 |
L(r)(E,1)/r! |
Ω |
0.13099391651586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44400ck2 16650l2 5550t2 |
Quadratic twists by: -4 -3 5 |