Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58812n |
Isogeny class |
Conductor |
58812 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4670054566631071488 = 28 · 33 · 1312 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -6 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-829508,-271843116] |
[a1,a2,a3,a4,a6] |
Generators |
[-425:2028:1] |
Generators of the group modulo torsion |
j |
51084117250000/3779391447 |
j-invariant |
L |
5.8145547907868 |
L(r)(E,1)/r! |
Ω |
0.15893495873537 |
Real period |
R |
3.0487077004982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999232 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4524e2 |
Quadratic twists by: 13 |