Atkin-Lehner |
2+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13858a |
Isogeny class |
Conductor |
13858 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
18440480463229448 = 23 · 138 · 414 |
Discriminant |
Eigenvalues |
2+ 0 2 0 0 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1224521,-521204891] |
[a1,a2,a3,a4,a6] |
Generators |
[-90049170412810050:73549489099858663:141013990125000] |
Generators of the group modulo torsion |
j |
42069031141486257/3820428872 |
j-invariant |
L |
3.8191825016478 |
L(r)(E,1)/r! |
Ω |
0.14351931246561 |
Real period |
R |
26.610930863838 |
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 |
110864e4 124722bu4 1066e3 |
Quadratic twists by: -4 -3 13 |