Atkin-Lehner |
2+ 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12834a |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
156585785904 = 24 · 33 · 233 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 3 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1446,-8892] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:78:1] |
Generators of the group modulo torsion |
j |
12388928834619/5799473552 |
j-invariant |
L |
2.6693382236592 |
L(r)(E,1)/r! |
Ω |
0.81011348857572 |
Real period |
R |
0.82375440642035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
102672w1 12834g2 |
Quadratic twists by: -4 -3 |