Atkin-Lehner |
3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
11163c |
Isogeny class |
Conductor |
11163 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2042829 = 32 · 613 |
Discriminant |
Eigenvalues |
1 3- -2 -2 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-322,-2245] |
[a1,a2,a3,a4,a6] |
Generators |
[1965:15230:27] |
Generators of the group modulo torsion |
j |
16194277/9 |
j-invariant |
L |
5.1449366121063 |
L(r)(E,1)/r! |
Ω |
1.1274875673508 |
Real period |
R |
4.5631870018711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33489j2 11163e2 |
Quadratic twists by: -3 61 |