Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218s |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.6772120692116E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-546710553,4920354115821] |
[a1,a2,a3,a4,a6] |
Generators |
[12474:-210033:1] [13530:-681:1] |
Generators of the group modulo torsion |
j |
5135804003824189180057/47665081152 |
j-invariant |
L |
5.715418266535 |
L(r)(E,1)/r! |
Ω |
0.1262310891713 |
Real period |
R |
2.8298388615955 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29406ba4 6786p3 |
Quadratic twists by: -3 13 |