Atkin-Lehner |
2- 3+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
43248r |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-730891225065848832 = -1 · 223 · 39 · 174 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 5 4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,122752,37613568] |
[a1,a2,a3,a4,a6] |
j |
49939703164181375/178440240494592 |
j-invariant |
L |
3.2378374952591 |
L(r)(E,1)/r! |
Ω |
0.20236484344436 |
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 |
5406j1 129744w1 |
Quadratic twists by: -4 -3 |