Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11592f |
Isogeny class |
Conductor |
11592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1781607967340544 = 211 · 38 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86691,-9612290] |
[a1,a2,a3,a4,a6] |
j |
48260105780546/1193313807 |
j-invariant |
L |
2.2292084881075 |
L(r)(E,1)/r! |
Ω |
0.27865106101343 |
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 |
23184e3 92736cl3 3864e4 81144u3 |
Quadratic twists by: -4 8 -3 -7 |