Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840cu |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
48 |
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 |
[-58:200:1] |
Generators of the group modulo torsion |
j |
3825694144/2015625 |
j-invariant |
L |
9.2613547787126 |
L(r)(E,1)/r! |
Ω |
0.61189888340831 |
Real period |
R |
1.2612861127909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840dj2 61920bu1 41280g2 |
Quadratic twists by: -4 8 -3 |