Atkin-Lehner |
2+ 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352g |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-36634875573491712 = -1 · 211 · 312 · 116 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,68688,-6088608] |
[a1,a2,a3,a4,a6] |
j |
9878111854/10097379 |
j-invariant |
L |
1.5891939304321 |
L(r)(E,1)/r! |
Ω |
0.19864925522287 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55176p3 912b4 |
Quadratic twists by: -4 -11 |