Atkin-Lehner |
3+ 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8151a |
Isogeny class |
Conductor |
8151 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
62790536533057047 = 34 · 1112 · 13 · 19 |
Discriminant |
Eigenvalues |
1 3+ -2 0 11+ 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-143611,17070514] |
[a1,a2,a3,a4,a6] |
j |
327560523276324497977/62790536533057047 |
j-invariant |
L |
0.33205700304338 |
L(r)(E,1)/r! |
Ω |
0.33205700304338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24453f4 89661e4 105963g4 |
Quadratic twists by: -3 -11 13 |