Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898i |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-56915366668818944 = -1 · 29 · 116 · 137 |
Discriminant |
Eigenvalues |
2+ 1 3 -1 11- 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9396742,11086222552] |
[a1,a2,a3,a4,a6] |
j |
-10730978619193/6656 |
j-invariant |
L |
2.3276585504493 |
L(r)(E,1)/r! |
Ω |
0.29095731880898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
338c3 3146l3 |
Quadratic twists by: -11 13 |