Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
67760b |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9.0582918497456E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68120136,-216378861664] |
[a1,a2,a3,a4,a6] |
Generators |
[22803588754491034126406:12077038045097244361101750:81228305350270441] |
Generators of the group modulo torsion |
j |
14478251434919276/37515625 |
j-invariant |
L |
7.0347127993496 |
L(r)(E,1)/r! |
Ω |
0.05255097100634 |
Real period |
R |
33.466140890082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33880c2 67760h2 |
Quadratic twists by: -4 -11 |