Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
125048bb |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
933888 |
Modular degree for the optimal curve |
Δ |
-11481773152484096 = -1 · 28 · 78 · 11 · 294 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11- 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-182737,-30566621] |
[a1,a2,a3,a4,a6] |
Generators |
[13431:36946:27] |
Generators of the group modulo torsion |
j |
-22406671946752/381224459 |
j-invariant |
L |
6.7294704005943 |
L(r)(E,1)/r! |
Ω |
0.11533844582305 |
Real period |
R |
3.6465889612476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999213337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17864o1 |
Quadratic twists by: -7 |