Atkin-Lehner |
2- 3+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12834g |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
114151037924016 = 24 · 39 · 233 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 -3 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13016,253099] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:881:1] |
Generators of the group modulo torsion |
j |
12388928834619/5799473552 |
j-invariant |
L |
8.163107277698 |
L(r)(E,1)/r! |
Ω |
0.52871760609114 |
Real period |
R |
0.64331027751978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102672z2 12834a1 |
Quadratic twists by: -4 -3 |