Atkin-Lehner |
2- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880df |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
350643814400 = 226 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11+ 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1985,17983] |
[a1,a2,a3,a4,a6] |
j |
3301293169/1337600 |
j-invariant |
L |
1.7387520055255 |
L(r)(E,1)/r! |
Ω |
0.86937600416054 |
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 |
66880bn1 16720v1 |
Quadratic twists by: -4 8 |