Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136a |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-14688242352 = -1 · 24 · 33 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54,-5833] |
[a1,a2,a3,a4,a6] |
j |
-40310784/34000561 |
j-invariant |
L |
3.376024326376 |
L(r)(E,1)/r! |
Ω |
0.56267072106267 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8568a1 68544dd1 17136b1 119952l1 |
Quadratic twists by: -4 8 -3 -7 |