Atkin-Lehner |
2- 3- 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27666n |
Isogeny class |
Conductor |
27666 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-172602465508224 = -1 · 27 · 39 · 293 · 532 |
Discriminant |
Eigenvalues |
2- 3- -1 -5 -2 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21713,1389633] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:1032:1] [-109:1620:1] |
Generators of the group modulo torsion |
j |
-1552876541267401/236766070656 |
j-invariant |
L |
10.027441204277 |
L(r)(E,1)/r! |
Ω |
0.55197617670295 |
Real period |
R |
0.1081335618178 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9222a1 |
Quadratic twists by: -3 |