Atkin-Lehner |
2- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111188b |
Isogeny class |
Conductor |
111188 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1181952 |
Modular degree for the optimal curve |
Δ |
16404219738545408 = 28 · 73 · 11 · 198 |
Discriminant |
Eigenvalues |
2- 0 4 7+ 11- -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219488,-39096300] |
[a1,a2,a3,a4,a6] |
Generators |
[-33598636415:2675323709:114084125] |
Generators of the group modulo torsion |
j |
268959744/3773 |
j-invariant |
L |
9.106154408716 |
L(r)(E,1)/r! |
Ω |
0.22075761299327 |
Real period |
R |
13.749853342534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111188g1 |
Quadratic twists by: -19 |