Atkin-Lehner |
5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19475d |
Isogeny class |
Conductor |
19475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
427870314453125 = 59 · 194 · 412 |
Discriminant |
Eigenvalues |
1 -2 5+ 2 -4 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24376,1072773] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:1592:1] [187:1656:1] |
Generators of the group modulo torsion |
j |
102509802860401/27383700125 |
j-invariant |
L |
6.5825693761324 |
L(r)(E,1)/r! |
Ω |
0.49511139788972 |
Real period |
R |
1.6618909916509 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3895f2 |
Quadratic twists by: 5 |