Atkin-Lehner |
2- 29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119422i |
Isogeny class |
Conductor |
119422 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
8128512 |
Modular degree for the optimal curve |
Δ |
5668344264128462848 = 227 · 296 · 71 |
Discriminant |
Eigenvalues |
2- -3 2 -3 6 -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2208624,1258718931] |
[a1,a2,a3,a4,a6] |
Generators |
[573:13169:1] |
Generators of the group modulo torsion |
j |
2003092024307193/9529458688 |
j-invariant |
L |
6.1884551597439 |
L(r)(E,1)/r! |
Ω |
0.24156274478548 |
Real period |
R |
0.47441511627221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000333531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
142e1 |
Quadratic twists by: 29 |