Atkin-Lehner |
5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34075d |
Isogeny class |
Conductor |
34075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3804 |
Modular degree for the optimal curve |
Δ |
-34075 = -1 · 52 · 29 · 47 |
Discriminant |
Eigenvalues |
-2 2 5+ 3 4 2 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2,8] |
[a1,a2,a3,a4,a6] |
j |
20480/1363 |
j-invariant |
L |
2.8068075496715 |
L(r)(E,1)/r! |
Ω |
2.8068075496648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34075i1 |
Quadratic twists by: 5 |