Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
17040i |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-2300400000000 = -1 · 210 · 34 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-360,72900] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:240:1] |
Generators of the group modulo torsion |
j |
-5052857764/2246484375 |
j-invariant |
L |
5.2866925726905 |
L(r)(E,1)/r! |
Ω |
0.66447985857841 |
Real period |
R |
0.99451708438555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8520j4 68160bz3 51120c3 85200d3 |
Quadratic twists by: -4 8 -3 5 |