Atkin-Lehner |
2+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
122728d |
Isogeny class |
Conductor |
122728 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1536768 |
Modular degree for the optimal curve |
Δ |
-3911529717797496832 = -1 · 211 · 238 · 293 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 -6 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1034195,415843726] |
[a1,a2,a3,a4,a6] |
Generators |
[162:15892:1] |
Generators of the group modulo torsion |
j |
-762743250/24389 |
j-invariant |
L |
3.3349574089711 |
L(r)(E,1)/r! |
Ω |
0.24671343603774 |
Real period |
R |
4.5058448885457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999545795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122728c1 |
Quadratic twists by: -23 |