Atkin-Lehner |
2+ 11+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85514d |
Isogeny class |
Conductor |
85514 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
322383188984569856 = 213 · 112 · 133 · 236 |
Discriminant |
Eigenvalues |
2+ 0 2 2 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-604226,-178551788] |
[a1,a2,a3,a4,a6] |
j |
11104328138896851669/146737910325248 |
j-invariant |
L |
0.34274951939531 |
L(r)(E,1)/r! |
Ω |
0.17137478553094 |
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 |
85514s2 |
Quadratic twists by: 13 |