Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840m |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
-4447683105468750000 = -1 · 24 · 37 · 516 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1164378,-494133127] |
[a1,a2,a3,a4,a6] |
j |
-14967807005098080256/381317138671875 |
j-invariant |
L |
0.2902369256709 |
L(r)(E,1)/r! |
Ω |
0.072559231399699 |
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 |
85680be1 14280bk1 |
Quadratic twists by: -4 -3 |