Atkin-Lehner |
2- 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
8034d |
Isogeny class |
Conductor |
8034 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
7373896802064 = 24 · 32 · 136 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-905164,331088861] |
[a1,a2,a3,a4,a6] |
j |
82017317508858092327617/7373896802064 |
j-invariant |
L |
3.419062134629 |
L(r)(E,1)/r! |
Ω |
0.56984368910484 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64272bc2 24102q2 104442b2 |
Quadratic twists by: -4 -3 13 |