Atkin-Lehner |
5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17405b |
Isogeny class |
Conductor |
17405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
216574895466373475 = 52 · 599 |
Discriminant |
Eigenvalues |
-1 -2 5+ -2 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1073961,-427885634] |
[a1,a2,a3,a4,a6] |
Generators |
[1901801:40186682:1331] |
Generators of the group modulo torsion |
j |
15813251/25 |
j-invariant |
L |
1.721292236937 |
L(r)(E,1)/r! |
Ω |
0.14831793223298 |
Real period |
R |
11.605422291306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87025a2 17405a2 |
Quadratic twists by: 5 -59 |