Atkin-Lehner |
2- 3- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
34164c |
Isogeny class |
Conductor |
34164 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13613974642944 = -1 · 28 · 310 · 132 · 732 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1041,-177050] |
[a1,a2,a3,a4,a6] |
j |
668510768/72948681 |
j-invariant |
L |
2.6794278534281 |
L(r)(E,1)/r! |
Ω |
0.33492848167781 |
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 |
11388c2 |
Quadratic twists by: -3 |