Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840cd |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
98001456817766400 = 219 · 37 · 52 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-482988,-128316112] |
[a1,a2,a3,a4,a6] |
Generators |
[1636:58824:1] |
Generators of the group modulo torsion |
j |
65202655558249/512820150 |
j-invariant |
L |
7.9192827781126 |
L(r)(E,1)/r! |
Ω |
0.18118466678078 |
Real period |
R |
2.7317718612803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840ey4 3870y3 41280u4 |
Quadratic twists by: -4 8 -3 |