Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080bj |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
391988160000 = 29 · 35 · 54 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2000,-17352] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:90:1] |
Generators of the group modulo torsion |
j |
1728864144008/765601875 |
j-invariant |
L |
8.3648031076947 |
L(r)(E,1)/r! |
Ω |
0.74372561650804 |
Real period |
R |
0.56235814136466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34080j2 68160g2 102240f2 |
Quadratic twists by: -4 8 -3 |