Atkin-Lehner |
2+ 3- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672t |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
18366694017444864 = 210 · 314 · 73 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73984,4156196] |
[a1,a2,a3,a4,a6] |
Generators |
[-289:1218:1] [-184:3402:1] |
Generators of the group modulo torsion |
j |
43736401708360708/17936224626411 |
j-invariant |
L |
12.82962482407 |
L(r)(E,1)/r! |
Ω |
0.35112425056923 |
Real period |
R |
0.86996912745386 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999941188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63336k2 |
Quadratic twists by: -4 |