Atkin-Lehner |
5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175z |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
10316021148125 = 54 · 7 · 119 |
Discriminant |
Eigenvalues |
0 -2 5- 7+ 11- 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-215783,38508894] |
[a1,a2,a3,a4,a6] |
Generators |
[194:1996:1] |
Generators of the group modulo torsion |
j |
1003555225600/9317 |
j-invariant |
L |
2.2347420201128 |
L(r)(E,1)/r! |
Ω |
0.65203216232038 |
Real period |
R |
0.85683734225627 |
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 |
21175s2 1925k2 |
Quadratic twists by: 5 -11 |