Atkin-Lehner |
3- 5- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
23205o |
Isogeny class |
Conductor |
23205 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2599101616518225 = 32 · 52 · 72 · 138 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16993795,-26965376200] |
[a1,a2,a3,a4,a6] |
j |
542743759475382443770799281/2599101616518225 |
j-invariant |
L |
2.3794519502801 |
L(r)(E,1)/r! |
Ω |
0.074357873446254 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69615o6 116025b6 |
Quadratic twists by: -3 5 |