Atkin-Lehner |
3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
25773r |
Isogeny class |
Conductor |
25773 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
62772055738029 = 32 · 117 · 713 |
Discriminant |
Eigenvalues |
0 3- -3 1 11- -5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-851517,302155310] |
[a1,a2,a3,a4,a6] |
Generators |
[546:544:1] |
Generators of the group modulo torsion |
j |
38543227604697088/35433189 |
j-invariant |
L |
3.6820309098809 |
L(r)(E,1)/r! |
Ω |
0.52046206793393 |
Real period |
R |
0.88431778623594 |
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 |
77319t2 2343g2 |
Quadratic twists by: -3 -11 |