Atkin-Lehner |
3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
8109h |
Isogeny class |
Conductor |
8109 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
34673256360129087 = 313 · 177 · 53 |
Discriminant |
Eigenvalues |
1 3- 0 3 0 -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-175302,26836353] |
[a1,a2,a3,a4,a6] |
Generators |
[816:20247:1] |
Generators of the group modulo torsion |
j |
817256136359958625/47562765926103 |
j-invariant |
L |
5.3769593002612 |
L(r)(E,1)/r! |
Ω |
0.36175812487782 |
Real period |
R |
3.7158524788332 |
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 |
129744bh1 2703b1 |
Quadratic twists by: -4 -3 |