Atkin-Lehner |
2- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
44720k |
Isogeny class |
Conductor |
44720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-241845760000000000 = -1 · 218 · 510 · 133 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -2 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101843,-26764142] |
[a1,a2,a3,a4,a6] |
j |
-28520511877550889/59044375000000 |
j-invariant |
L |
0.75235695523623 |
L(r)(E,1)/r! |
Ω |
0.12539282591565 |
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 |
5590a1 |
Quadratic twists by: -4 |