Atkin-Lehner |
3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5661i |
Isogeny class |
Conductor |
5661 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-132518349 = -1 · 36 · 173 · 37 |
Discriminant |
Eigenvalues |
-1 3- -1 -1 5 -2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,97,388] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-85:1] |
Generators of the group modulo torsion |
j |
139798359/181781 |
j-invariant |
L |
2.3018279736651 |
L(r)(E,1)/r! |
Ω |
1.2431264167915 |
Real period |
R |
0.15430369366657 |
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 |
90576bq1 629a1 96237n1 |
Quadratic twists by: -4 -3 17 |