Atkin-Lehner |
2+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17200g |
Isogeny class |
Conductor |
17200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-430000 = -1 · 24 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 -5 3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17,-12] |
[a1,a2,a3,a4,a6] |
j |
51200/43 |
j-invariant |
L |
1.6460946760224 |
L(r)(E,1)/r! |
Ω |
1.6460946760224 |
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 |
8600e1 68800ej1 17200e1 |
Quadratic twists by: -4 8 5 |