Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22440u |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
213269760000 = 211 · 34 · 54 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-87840,-9991188] |
[a1,a2,a3,a4,a6] |
Generators |
[1593:62370:1] |
Generators of the group modulo torsion |
j |
36599544910739522/104135625 |
j-invariant |
L |
5.7434023828344 |
L(r)(E,1)/r! |
Ω |
0.27731677117874 |
Real period |
R |
5.1776551039647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880v4 67320j4 112200bc4 |
Quadratic twists by: -4 -3 5 |