Atkin-Lehner |
3- 5- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
19695c |
Isogeny class |
Conductor |
19695 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2181898265625 = 34 · 56 · 132 · 1012 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-54710,-4929525] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:90:1] |
Generators of the group modulo torsion |
j |
18110246125556089441/2181898265625 |
j-invariant |
L |
3.8700062270412 |
L(r)(E,1)/r! |
Ω |
0.31216626937748 |
Real period |
R |
2.0662099051459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59085e2 98475f2 |
Quadratic twists by: -3 5 |