Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
126324o |
Isogeny class |
Conductor |
126324 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17031168 |
Modular degree for the optimal curve |
Δ |
-7.4874704229054E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 11- 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33381480,-151138633052] |
[a1,a2,a3,a4,a6] |
Generators |
[151234:19552815:8] |
Generators of the group modulo torsion |
j |
-849857536000/1546823547 |
j-invariant |
L |
5.5413697893313 |
L(r)(E,1)/r! |
Ω |
0.02961150252265 |
Real period |
R |
7.7973215596049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42108c1 126324g1 |
Quadratic twists by: -3 -11 |