Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400hu |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-17169408000000 = -1 · 216 · 36 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6433,279263] |
[a1,a2,a3,a4,a6] |
Generators |
[47:288:1] |
Generators of the group modulo torsion |
j |
-28756228/16767 |
j-invariant |
L |
9.4516804245056 |
L(r)(E,1)/r! |
Ω |
0.64240636805045 |
Real period |
R |
1.2260775648305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400bg1 27600c1 4416v1 |
Quadratic twists by: -4 8 5 |