Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840bz |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1253880000 = -1 · 26 · 36 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -1 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288,2538] |
[a1,a2,a3,a4,a6] |
Generators |
[39:225:1] |
Generators of the group modulo torsion |
j |
-56623104/26875 |
j-invariant |
L |
6.0949263040956 |
L(r)(E,1)/r! |
Ω |
1.4303885145123 |
Real period |
R |
1.0652571494727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998977248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840el1 1935j1 13760j1 |
Quadratic twists by: -4 8 -3 |