Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450bn |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2684928 |
Modular degree for the optimal curve |
Δ |
253311560231500 = 22 · 53 · 477 |
Discriminant |
Eigenvalues |
2- -1 5- 3 3 1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8566548,9647087881] |
[a1,a2,a3,a4,a6] |
j |
51599335959989/188 |
j-invariant |
L |
2.9593236945424 |
L(r)(E,1)/r! |
Ω |
0.36991544662719 |
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 |
110450p1 2350n1 |
Quadratic twists by: 5 -47 |