Atkin-Lehner |
2+ 3+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
8034a |
Isogeny class |
Conductor |
8034 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
36659142 = 2 · 34 · 133 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -4 1 -3 13- -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-162,-810] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:9:1] [-7:10:1] |
Generators of the group modulo torsion |
j |
474734543401/36659142 |
j-invariant |
L |
3.1630245447462 |
L(r)(E,1)/r! |
Ω |
1.3436642300894 |
Real period |
R |
0.39233816429171 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64272bf1 24102bc1 104442z1 |
Quadratic twists by: -4 -3 13 |