Atkin-Lehner |
2+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17050g |
Isogeny class |
Conductor |
17050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
175933134733312000 = 232 · 53 · 11 · 313 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11+ 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-143362,5445396] |
[a1,a2,a3,a4,a6] |
j |
2606859088214565933/1407465077866496 |
j-invariant |
L |
1.1209462500978 |
L(r)(E,1)/r! |
Ω |
0.28023656252444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17050m1 |
Quadratic twists by: 5 |