Atkin-Lehner |
2- 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58140q |
Isogeny class |
Conductor |
58140 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
2.3702612708047E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13238607,-16996097194] |
[a1,a2,a3,a4,a6] |
Generators |
[-2213:38250:1] |
Generators of the group modulo torsion |
j |
1374937915497203694544/127007312607421875 |
j-invariant |
L |
4.8307328896879 |
L(r)(E,1)/r! |
Ω |
0.079616042083355 |
Real period |
R |
1.0112561830156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19380c2 |
Quadratic twists by: -3 |