Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127072y |
Isogeny class |
Conductor |
127072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2033152 = -1 · 29 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 2 0 2 11- -5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32,-12] |
[a1,a2,a3,a4,a6] |
j |
19000/11 |
j-invariant |
L |
3.1177905213149 |
L(r)(E,1)/r! |
Ω |
1.5588953812258 |
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 |
127072s1 127072g1 |
Quadratic twists by: -4 -19 |