Atkin-Lehner |
2- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111188p |
Isogeny class |
Conductor |
111188 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
787968 |
Modular degree for the optimal curve |
Δ |
40508379354367232 = 28 · 7 · 113 · 198 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11- -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91453,-4451745] |
[a1,a2,a3,a4,a6] |
j |
19456000/9317 |
j-invariant |
L |
0.86362126778437 |
L(r)(E,1)/r! |
Ω |
0.28787386630853 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
111188r1 |
Quadratic twists by: -19 |