Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136s |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-19648443580416 = -1 · 223 · 39 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -1 -3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7587,331938] |
[a1,a2,a3,a4,a6] |
Generators |
[369:6912:1] |
Generators of the group modulo torsion |
j |
-599077107/243712 |
j-invariant |
L |
5.3013239817466 |
L(r)(E,1)/r! |
Ω |
0.64273197256149 |
Real period |
R |
1.0310137444655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2142a1 68544db1 17136u1 119952cz1 |
Quadratic twists by: -4 8 -3 -7 |