Atkin-Lehner |
2+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
1136a |
Isogeny class |
Conductor |
1136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
145408 = 211 · 71 |
Discriminant |
Eigenvalues |
2+ 1 2 -5 -2 -1 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72,212] |
[a1,a2,a3,a4,a6] |
Generators |
[4:2:1] |
Generators of the group modulo torsion |
j |
20436626/71 |
j-invariant |
L |
2.840465002902 |
L(r)(E,1)/r! |
Ω |
3.2751188758031 |
Real period |
R |
0.43364303871344 |
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 |
568a1 4544l1 10224e1 28400c1 |
Quadratic twists by: -4 8 -3 5 |