Atkin-Lehner |
2- 7+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65968h |
Isogeny class |
Conductor |
65968 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-287078026719232 = -1 · 212 · 73 · 193 · 313 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 6 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20693,-1399267] |
[a1,a2,a3,a4,a6] |
j |
-239251750912000/70087408867 |
j-invariant |
L |
3.1370074769633 |
L(r)(E,1)/r! |
Ω |
0.19606296797649 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4123c2 |
Quadratic twists by: -4 |