Atkin-Lehner |
2+ 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728i |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
66316465152 = 210 · 36 · 74 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 4 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1813,-26411] |
[a1,a2,a3,a4,a6] |
j |
643956736000/64762173 |
j-invariant |
L |
1.4727044600746 |
L(r)(E,1)/r! |
Ω |
0.73635222993258 |
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 |
49728ew1 3108e1 |
Quadratic twists by: -4 8 |