Atkin-Lehner |
2+ 3+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
105774h |
Isogeny class |
Conductor |
105774 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1650709044 = -1 · 22 · 34 · 174 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 -4 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3618,82296] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-162:1] |
Generators of the group modulo torsion |
j |
-62736640489/19764 |
j-invariant |
L |
2.1823345543501 |
L(r)(E,1)/r! |
Ω |
1.4666434377607 |
Real period |
R |
0.12399824583851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999620376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105774j1 |
Quadratic twists by: 17 |