Atkin-Lehner |
2- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17050j |
Isogeny class |
Conductor |
17050 |
Conductor |
∏ cp |
175 |
Product of Tamagawa factors cp |
deg |
285600 |
Modular degree for the optimal curve |
Δ |
4288594423526195200 = 235 · 52 · 115 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11- 4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-446353,56797551] |
[a1,a2,a3,a4,a6] |
j |
393386216030652268345/171543776941047808 |
j-invariant |
L |
1.550869745529 |
L(r)(E,1)/r! |
Ω |
0.22155282078985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
17050h2 |
Quadratic twists by: 5 |