Atkin-Lehner |
5- 11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17765g |
Isogeny class |
Conductor |
17765 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-75005773046875 = -1 · 58 · 112 · 174 · 19 |
Discriminant |
Eigenvalues |
-1 0 5- 0 11- 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8498,-289696] |
[a1,a2,a3,a4,a6] |
Generators |
[62:656:1] |
Generators of the group modulo torsion |
j |
67876869278132559/75005773046875 |
j-invariant |
L |
3.4428125746138 |
L(r)(E,1)/r! |
Ω |
0.33082854449683 |
Real period |
R |
0.65041481302841 |
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 |
88825l3 |
Quadratic twists by: 5 |