Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600cn |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.6784E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101502675,-393607600750] |
[a1,a2,a3,a4,a6] |
Generators |
[41997241871729761232341253:-5972982616243403864557184974:1684480637535528296827] |
Generators of the group modulo torsion |
j |
66928707375050045043/155000000000 |
j-invariant |
L |
8.0334575518257 |
L(r)(E,1)/r! |
Ω |
0.047564205092058 |
Real period |
R |
42.224281438595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950b2 111600cp2 22320ba2 |
Quadratic twists by: -4 -3 5 |