Atkin-Lehner |
3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51183g |
Isogeny class |
Conductor |
51183 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
182096983629 = 37 · 116 · 47 |
Discriminant |
Eigenvalues |
0 3- 1 3 11- 4 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1452,-5657] |
[a1,a2,a3,a4,a6] |
j |
262144/141 |
j-invariant |
L |
3.2932206144525 |
L(r)(E,1)/r! |
Ω |
0.8233051538148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17061a1 423a1 |
Quadratic twists by: -3 -11 |