Atkin-Lehner |
2- 3- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
105774x |
Isogeny class |
Conductor |
105774 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-7458759384 = -1 · 23 · 3 · 174 · 612 |
Discriminant |
Eigenvalues |
2- 3- 3 0 -3 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-584,-6888] |
[a1,a2,a3,a4,a6] |
Generators |
[8394:32891:216] |
Generators of the group modulo torsion |
j |
-263762497/89304 |
j-invariant |
L |
15.783421592728 |
L(r)(E,1)/r! |
Ω |
0.47740449391921 |
Real period |
R |
5.5101497753553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105774t1 |
Quadratic twists by: 17 |