Atkin-Lehner |
2- 3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
106800bl |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-207619200000000 = -1 · 213 · 36 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -1 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14792,28912] |
[a1,a2,a3,a4,a6] |
Generators |
[292:5400:1] |
Generators of the group modulo torsion |
j |
223694375/129762 |
j-invariant |
L |
4.3431143808634 |
L(r)(E,1)/r! |
Ω |
0.33835299646803 |
Real period |
R |
0.53483522292478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999397332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13350j1 106800bq1 |
Quadratic twists by: -4 5 |