Atkin-Lehner |
17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15317a |
Isogeny class |
Conductor |
15317 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
61089990620221 = 177 · 533 |
Discriminant |
Eigenvalues |
0 -1 3 4 -6 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-201529,-34752938] |
[a1,a2,a3,a4,a6] |
Generators |
[5930:119353:8] |
Generators of the group modulo torsion |
j |
37501184770048/2530909 |
j-invariant |
L |
4.2836186548141 |
L(r)(E,1)/r! |
Ω |
0.22532882202304 |
Real period |
R |
4.7526306403626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
901c2 |
Quadratic twists by: 17 |