Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17052l |
Isogeny class |
Conductor |
17052 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
102816 |
Modular degree for the optimal curve |
Δ |
1528783165211904 = 28 · 36 · 710 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 5 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-300925,-63610849] |
[a1,a2,a3,a4,a6] |
j |
41675382784/21141 |
j-invariant |
L |
3.6691933264671 |
L(r)(E,1)/r! |
Ω |
0.20384407369262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68208bg1 51156z1 17052a1 |
Quadratic twists by: -4 -3 -7 |