Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175q |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4334534185913421875 = -1 · 56 · 76 · 119 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- 11- -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-149233,-102546632] |
[a1,a2,a3,a4,a6] |
Generators |
[598:4658:1] |
Generators of the group modulo torsion |
j |
-13278380032/156590819 |
j-invariant |
L |
2.5779655211603 |
L(r)(E,1)/r! |
Ω |
0.10469709974879 |
Real period |
R |
1.0259618490491 |
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 |
847a2 1925a2 |
Quadratic twists by: 5 -11 |