Atkin-Lehner |
5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21175a |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25476171875 = 58 · 72 · 113 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1667,-24634] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:38:1] |
Generators of the group modulo torsion |
j |
24642171/1225 |
j-invariant |
L |
4.7417690860802 |
L(r)(E,1)/r! |
Ω |
0.74944819014341 |
Real period |
R |
1.5817534648969 |
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 |
4235f2 21175l2 |
Quadratic twists by: 5 -11 |