Atkin-Lehner |
3- 5+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
126825p |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1764898681640625 = -1 · 32 · 514 · 192 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -2 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6688,2031617] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:334:1] |
Generators of the group modulo torsion |
j |
-2117368939321/112953515625 |
j-invariant |
L |
6.01117268414 |
L(r)(E,1)/r! |
Ω |
0.39007951157234 |
Real period |
R |
3.8525303508303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25365e2 |
Quadratic twists by: 5 |