Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13248bm |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-17169408 = -1 · 210 · 36 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 5 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1980,-33912] |
[a1,a2,a3,a4,a6] |
j |
-1149984000/23 |
j-invariant |
L |
3.2206627459288 |
L(r)(E,1)/r! |
Ω |
0.35785141621431 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13248e1 3312e1 1472k1 |
Quadratic twists by: -4 8 -3 |