Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27360ba |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3648153945600 = 29 · 37 · 52 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8283,-275218] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:90:1] [166:1710:1] |
Generators of the group modulo torsion |
j |
168379496648/9774075 |
j-invariant |
L |
6.9831642550221 |
L(r)(E,1)/r! |
Ω |
0.50225480239786 |
Real period |
R |
0.86897678997836 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27360i3 54720bz4 9120e3 |
Quadratic twists by: -4 8 -3 |