Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840dj |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6018624000000 = 212 · 37 · 56 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4692,37024] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:360:1] [-67:225:1] |
Generators of the group modulo torsion |
j |
3825694144/2015625 |
j-invariant |
L |
10.794502647674 |
L(r)(E,1)/r! |
Ω |
0.66361995372445 |
Real period |
R |
0.67775379783001 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999933429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840cu2 61920n1 41280bi2 |
Quadratic twists by: -4 8 -3 |