Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840i |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
745346396160000 = 215 · 39 · 54 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-721548,235906128] |
[a1,a2,a3,a4,a6] |
j |
64413688156056/1155625 |
j-invariant |
L |
1.8600110965263 |
L(r)(E,1)/r! |
Ω |
0.46500298777872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840d2 61920bl2 123840w2 |
Quadratic twists by: -4 8 -3 |