Atkin-Lehner |
2- 5- 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
17170n |
Isogeny class |
Conductor |
17170 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-70761072680 = -1 · 23 · 5 · 17 · 1014 |
Discriminant |
Eigenvalues |
2- -1 5- -2 0 3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-120785,-16207593] |
[a1,a2,a3,a4,a6] |
Generators |
[2505:122876:1] |
Generators of the group modulo torsion |
j |
-194878060080570372241/70761072680 |
j-invariant |
L |
6.1151950181179 |
L(r)(E,1)/r! |
Ω |
0.12804607775606 |
Real period |
R |
3.9798140932828 |
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 |
85850d1 |
Quadratic twists by: 5 |