Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34080bf |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
52918401600 = 26 · 38 · 52 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1950,30600] |
[a1,a2,a3,a4,a6] |
j |
12819475843264/826850025 |
j-invariant |
L |
4.4077976201606 |
L(r)(E,1)/r! |
Ω |
1.1019494050423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34080ba1 68160bu2 102240h1 |
Quadratic twists by: -4 8 -3 |