Atkin-Lehner |
13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54587b |
Isogeny class |
Conductor |
54587 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5006139434777 = 138 · 17 · 192 |
Discriminant |
Eigenvalues |
-1 2 0 -2 2 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14453,-666086] |
[a1,a2,a3,a4,a6] |
j |
69173457625/1037153 |
j-invariant |
L |
0.87163437945261 |
L(r)(E,1)/r! |
Ω |
0.43581718912804 |
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 |
4199a2 |
Quadratic twists by: 13 |