Atkin-Lehner |
3- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
22185t |
Isogeny class |
Conductor |
22185 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-2653289099134875 = -1 · 311 · 53 · 173 · 293 |
Discriminant |
Eigenvalues |
0 3- 5- -1 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-169752,27033552] |
[a1,a2,a3,a4,a6] |
Generators |
[-388:5872:1] |
Generators of the group modulo torsion |
j |
-742063180122947584/3639628393875 |
j-invariant |
L |
3.8099953870758 |
L(r)(E,1)/r! |
Ω |
0.45764378909594 |
Real period |
R |
0.69377018361127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7395f2 110925r2 |
Quadratic twists by: -3 5 |