Atkin-Lehner |
3- 11+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17391f |
Isogeny class |
Conductor |
17391 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
937191184275951 = 310 · 116 · 172 · 31 |
Discriminant |
Eigenvalues |
1 3- 2 2 11+ -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-54520,4668611] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:2300:1] |
Generators of the group modulo torsion |
j |
17921724741939368953/937191184275951 |
j-invariant |
L |
8.5166677136378 |
L(r)(E,1)/r! |
Ω |
0.489813850112 |
Real period |
R |
1.7387560012218 |
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 |
52173q2 |
Quadratic twists by: -3 |