Atkin-Lehner |
3+ 5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
23205g |
Isogeny class |
Conductor |
23205 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
706854753893925 = 312 · 52 · 72 · 13 · 174 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 0 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-89322,-10232469] |
[a1,a2,a3,a4,a6] |
j |
78814590865112105641/706854753893925 |
j-invariant |
L |
2.2104685349472 |
L(r)(E,1)/r! |
Ω |
0.27630856686841 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69615j3 116025bh3 |
Quadratic twists by: -3 5 |