Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786bi |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
3010173409652598072 = 23 · 37 · 133 · 238 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1338867095,-18855871349641] |
[a1,a2,a3,a4,a6] |
Generators |
[34754391:-10225575536:343] |
Generators of the group modulo torsion |
j |
2459470239675979413625/27893112 |
j-invariant |
L |
13.717137024514 |
L(r)(E,1)/r! |
Ω |
0.024958310747568 |
Real period |
R |
7.6333608718631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999985699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41262m4 5382j4 |
Quadratic twists by: -3 -23 |