Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800cs |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
300672000000 = 213 · 34 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-123808,16726388] |
[a1,a2,a3,a4,a6] |
Generators |
[178:600:1] |
Generators of the group modulo torsion |
j |
3279392280793/4698 |
j-invariant |
L |
7.0382069092347 |
L(r)(E,1)/r! |
Ω |
0.82488000975733 |
Real period |
R |
1.0665501081947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4350o3 104400eg4 1392h4 |
Quadratic twists by: -4 -3 5 |