Atkin-Lehner |
2- 5- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
17110f |
Isogeny class |
Conductor |
17110 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
771840 |
Modular degree for the optimal curve |
Δ |
287790200 = 23 · 52 · 293 · 59 |
Discriminant |
Eigenvalues |
2- 0 5- -2 -5 -1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-143493532,661637555239] |
[a1,a2,a3,a4,a6] |
j |
326753829460192278579633967761/287790200 |
j-invariant |
L |
2.0194670631253 |
L(r)(E,1)/r! |
Ω |
0.33657784385421 |
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 |
85550d1 |
Quadratic twists by: 5 |