Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840ft |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1609948215705600 = 216 · 312 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-557292,160118224] |
[a1,a2,a3,a4,a6] |
j |
400649568576484/33698025 |
j-invariant |
L |
1.8122233421837 |
L(r)(E,1)/r! |
Ω |
0.45305557208925 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123840cx2 30960e2 41280ct2 |
Quadratic twists by: -4 8 -3 |