Atkin-Lehner |
2+ 3- 11+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36894n |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
247484952 = 23 · 32 · 11 · 132 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-867797,311081384] |
[a1,a2,a3,a4,a6] |
Generators |
[14538:-6530:27] |
Generators of the group modulo torsion |
j |
72273223604993558667337/247484952 |
j-invariant |
L |
4.0765732441756 |
L(r)(E,1)/r! |
Ω |
0.82920556048685 |
Real period |
R |
2.4581198187956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110682bw2 |
Quadratic twists by: -3 |