Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120f |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-7411250000000000 = -1 · 210 · 513 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 11+ 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58256,-6834556] |
[a1,a2,a3,a4,a6] |
j |
-435769785893764/147705078125 |
j-invariant |
L |
2.4169677745319 |
L(r)(E,1)/r! |
Ω |
0.15106048590368 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21560n1 43120o1 |
Quadratic twists by: -4 -7 |