Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22984g |
Isogeny class |
Conductor |
22984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18569545126912 = 210 · 137 · 172 |
Discriminant |
Eigenvalues |
2- 0 -4 -2 2 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47827,4020510] |
[a1,a2,a3,a4,a6] |
Generators |
[147:408:1] |
Generators of the group modulo torsion |
j |
2447840196/3757 |
j-invariant |
L |
2.7046730587515 |
L(r)(E,1)/r! |
Ω |
0.6878452222011 |
Real period |
R |
1.9660477178984 |
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 |
45968e2 1768a2 |
Quadratic twists by: -4 13 |