Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18392f |
Isogeny class |
Conductor |
18392 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
129888 |
Modular degree for the optimal curve |
Δ |
-364349020852754432 = -1 · 211 · 1110 · 193 |
Discriminant |
Eigenvalues |
2- 0 0 -1 11- -3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,73205,-28022874] |
[a1,a2,a3,a4,a6] |
j |
816750/6859 |
j-invariant |
L |
0.44919216099415 |
L(r)(E,1)/r! |
Ω |
0.14973072033138 |
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 |
36784c1 18392b1 |
Quadratic twists by: -4 -11 |