Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840fz |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-416477025675000000 = -1 · 26 · 318 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 5 5 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,65328,30377014] |
[a1,a2,a3,a4,a6] |
j |
660867352100864/8926548046875 |
j-invariant |
L |
3.5393007148936 |
L(r)(E,1)/r! |
Ω |
0.22120640118114 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840df1 30960bo1 41280cw1 |
Quadratic twists by: -4 8 -3 |