Atkin-Lehner |
2- 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080ba |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
16 |
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 |
2.885268320926 |
L(r)(E,1)/r! |
Ω |
0.72131708023415 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34080bf1 68160cx2 102240e1 |
Quadratic twists by: -4 8 -3 |