Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898g |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8152460558721875968 = 230 · 112 · 137 |
Discriminant |
Eigenvalues |
2+ 1 0 2 11- 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-810021,244608912] |
[a1,a2,a3,a4,a6] |
j |
100638995169625/13958643712 |
j-invariant |
L |
0.89662267164671 |
L(r)(E,1)/r! |
Ω |
0.2241556678781 |
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 |
40898bi2 3146k2 |
Quadratic twists by: -11 13 |