Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17328u |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
166817919419136 = 28 · 36 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -2 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33332,2269500] |
[a1,a2,a3,a4,a6] |
Generators |
[26362:1510785:8] |
Generators of the group modulo torsion |
j |
340062928/13851 |
j-invariant |
L |
4.7308322778176 |
L(r)(E,1)/r! |
Ω |
0.56812236168864 |
Real period |
R |
4.1635680945176 |
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 |
4332c2 69312dn2 51984cs2 912j2 |
Quadratic twists by: -4 8 -3 -19 |