Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960y |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
100412388222566400 = 217 · 32 · 52 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33221376,-73690122240] |
[a1,a2,a3,a4,a6] |
Generators |
[-1190967490:-13092750:357911] |
Generators of the group modulo torsion |
j |
6687281588245201/165600 |
j-invariant |
L |
4.227056594248 |
L(r)(E,1)/r! |
Ω |
0.062884722688585 |
Real period |
R |
8.4023917704673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999597701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870bf2 5520t2 |
Quadratic twists by: -4 -23 |