Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93138bh |
Isogeny class |
Conductor |
93138 |
Conductor |
∏ cp |
29 |
Product of Tamagawa factors cp |
deg |
584640 |
Modular degree for the optimal curve |
Δ |
25001541500928 = 229 · 3 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 3- 4 0 3 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16566,-786012] |
[a1,a2,a3,a4,a6] |
j |
1392743434342969/69256347648 |
j-invariant |
L |
12.241414081552 |
L(r)(E,1)/r! |
Ω |
0.42211773009107 |
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 |
93138a1 |
Quadratic twists by: -19 |