Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488bl |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-1.8521767933002E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4179711,-5660476065] |
[a1,a2,a3,a4,a6] |
Generators |
[1227:36288:1] [3513:228888:1] |
Generators of the group modulo torsion |
j |
1276229915423/2927177028 |
j-invariant |
L |
10.476138178312 |
L(r)(E,1)/r! |
Ω |
0.063440667770838 |
Real period |
R |
2.5802007574595 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488cp3 1734i4 3264h4 |
Quadratic twists by: -4 8 17 |