Atkin-Lehner |
2- 41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
23944d |
Isogeny class |
Conductor |
23944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
31414528 = 28 · 412 · 73 |
Discriminant |
Eigenvalues |
2- 0 2 -2 6 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79,18] |
[a1,a2,a3,a4,a6] |
Generators |
[9:6:1] |
Generators of the group modulo torsion |
j |
212992848/122713 |
j-invariant |
L |
5.9070093495359 |
L(r)(E,1)/r! |
Ω |
1.7750193675764 |
Real period |
R |
1.6639281400071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47888b1 |
Quadratic twists by: -4 |