Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34720q |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
137768960 = 212 · 5 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -6 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145,-417] |
[a1,a2,a3,a4,a6] |
Generators |
[13:8:1] |
Generators of the group modulo torsion |
j |
82881856/33635 |
j-invariant |
L |
3.2459385813602 |
L(r)(E,1)/r! |
Ω |
1.424545297873 |
Real period |
R |
2.2785787059259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34720z2 69440o1 |
Quadratic twists by: -4 8 |