Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840fc |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
79503615590400 = 218 · 38 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25068,1466192] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:1080:1] [-139:1505:1] |
Generators of the group modulo torsion |
j |
9116230969/416025 |
j-invariant |
L |
10.835204659638 |
L(r)(E,1)/r! |
Ω |
0.60313853928377 |
Real period |
R |
4.4911757207582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003783 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123840bh2 30960bt2 41280ck2 |
Quadratic twists by: -4 8 -3 |