Atkin-Lehner |
2+ 3- 37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
48618a |
Isogeny class |
Conductor |
48618 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
849769907472 = 24 · 312 · 372 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18414,-956156] |
[a1,a2,a3,a4,a6] |
j |
947226559343329/1165665168 |
j-invariant |
L |
1.6394700875256 |
L(r)(E,1)/r! |
Ω |
0.40986752214255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16206g1 |
Quadratic twists by: -3 |