Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474o |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6.9276710744039E+27 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-546308046,-2849220242348] |
[a1,a2,a3,a4,a6] |
Generators |
[36022698958214977910089668778485:7791451802571985742193552711109904:627735734513917401455322875] |
Generators of the group modulo torsion |
j |
525759790900426992937/201993839889813504 |
j-invariant |
L |
5.8460913593363 |
L(r)(E,1)/r! |
Ω |
0.032258950887707 |
Real period |
R |
45.30596314798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981055 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28158m2 4446t2 |
Quadratic twists by: -3 -19 |