Atkin-Lehner |
2- 3- 7+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
92106ca |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-831527073216 = -1 · 26 · 310 · 7 · 17 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9266,348401] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-107:1] |
Generators of the group modulo torsion |
j |
-120678285194713/1140640704 |
j-invariant |
L |
9.8020748132704 |
L(r)(E,1)/r! |
Ω |
0.8960342266841 |
Real period |
R |
0.9116164805019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30702k1 |
Quadratic twists by: -3 |