Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43248z |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-175412059128576 = -1 · 28 · 315 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -3 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7923,579159] |
[a1,a2,a3,a4,a6] |
Generators |
[183:2862:1] |
Generators of the group modulo torsion |
j |
214831469453312/685203355971 |
j-invariant |
L |
5.6870041427834 |
L(r)(E,1)/r! |
Ω |
0.4033747375031 |
Real period |
R |
0.2349760497307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10812b1 129744cd1 |
Quadratic twists by: -4 -3 |