Atkin-Lehner |
2- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44944d |
Isogeny class |
Conductor |
44944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-76985869260357632 = -1 · 216 · 537 |
Discriminant |
Eigenvalues |
2- -1 4 0 4 1 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-338016,-76696832] |
[a1,a2,a3,a4,a6] |
j |
-47045881/848 |
j-invariant |
L |
3.5601903506289 |
L(r)(E,1)/r! |
Ω |
0.098894176409196 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5618f1 848a1 |
Quadratic twists by: -4 53 |