Atkin-Lehner |
2+ 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
109330k |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6440220312500 = 22 · 58 · 132 · 293 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -4 13+ -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5528,100098] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:325:1] [-66:455:1] [-51:525:1] |
Generators of the group modulo torsion |
j |
765809734949/264062500 |
j-invariant |
L |
8.2799257680955 |
L(r)(E,1)/r! |
Ω |
0.69110593615725 |
Real period |
R |
0.74879310603039 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
0.99999999995118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109330w2 |
Quadratic twists by: 29 |