Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18216i |
Isogeny class |
Conductor |
18216 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
299870269433856 = 211 · 314 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 11- 5 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16923,-154474] |
[a1,a2,a3,a4,a6] |
j |
359003179442/200851893 |
j-invariant |
L |
2.6980339862608 |
L(r)(E,1)/r! |
Ω |
0.44967233104346 |
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 |
36432k1 6072c1 |
Quadratic twists by: -4 -3 |