Atkin-Lehner |
17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15317f |
Isogeny class |
Conductor |
15317 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2.5790431694103E+21 |
Discriminant |
Eigenvalues |
-1 -2 0 4 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8630413,9447230868] |
[a1,a2,a3,a4,a6] |
Generators |
[-1200447268:-8631354680:357911] |
Generators of the group modulo torsion |
j |
2945268712058640625/106847676723797 |
j-invariant |
L |
2.4429652817782 |
L(r)(E,1)/r! |
Ω |
0.14326429052401 |
Real period |
R |
17.052157748751 |
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 |
901b2 |
Quadratic twists by: 17 |