Atkin-Lehner |
13+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
108953b |
Isogeny class |
Conductor |
108953 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-833815698068118649 = -1 · 132 · 178 · 294 |
Discriminant |
Eigenvalues |
1 2 2 -2 -6 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,174406,-33753535] |
[a1,a2,a3,a4,a6] |
j |
24305835707063/34544311321 |
j-invariant |
L |
1.197751229943 |
L(r)(E,1)/r! |
Ω |
0.14971888670359 |
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 |
6409b2 |
Quadratic twists by: 17 |