Atkin-Lehner |
2- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5618f |
Isogeny class |
Conductor |
5618 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-18795378237392 = -1 · 24 · 537 |
Discriminant |
Eigenvalues |
2- 1 4 0 -4 1 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21126,1198388] |
[a1,a2,a3,a4,a6] |
j |
-47045881/848 |
j-invariant |
L |
5.5085784259558 |
L(r)(E,1)/r! |
Ω |
0.68857230324448 |
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 |
44944d1 50562l1 106b1 |
Quadratic twists by: -4 -3 53 |