Atkin-Lehner |
2- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65968j |
Isogeny class |
Conductor |
65968 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6.0073087115849E+24 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-295993451,-1956518088166] |
[a1,a2,a3,a4,a6] |
Generators |
[14539002242842725:-1305442845122598854:608722171875] |
Generators of the group modulo torsion |
j |
700180595456404694543446977/1466628103414279654982 |
j-invariant |
L |
2.4137081346891 |
L(r)(E,1)/r! |
Ω |
0.036402707254143 |
Real period |
R |
22.101910512839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000914 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8246f3 |
Quadratic twists by: -4 |