Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200eg |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
29073408000000000 = 222 · 3 · 59 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-278208,55974912] |
[a1,a2,a3,a4,a6] |
Generators |
[-352:10496:1] |
Generators of the group modulo torsion |
j |
297676210733/3634176 |
j-invariant |
L |
5.2252049122591 |
L(r)(E,1)/r! |
Ω |
0.37427304112542 |
Real period |
R |
3.4902359693585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999813798 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650de1 109200hi1 |
Quadratic twists by: -4 5 |