Atkin-Lehner |
2+ 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50562l |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
-13701830735058768 = -1 · 24 · 36 · 537 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 4 1 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-190134,-32356476] |
[a1,a2,a3,a4,a6] |
j |
-47045881/848 |
j-invariant |
L |
0.91354526968171 |
L(r)(E,1)/r! |
Ω |
0.11419315874227 |
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 |
5618f1 954m1 |
Quadratic twists by: -3 53 |