Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74480bo |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-1144489472000000 = -1 · 215 · 56 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23536,-2148140] |
[a1,a2,a3,a4,a6] |
j |
-2992209121/2375000 |
j-invariant |
L |
1.4910415979242 |
L(r)(E,1)/r! |
Ω |
0.18638020353867 |
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 |
9310n1 1520j1 |
Quadratic twists by: -4 -7 |