Atkin-Lehner |
2- 3- 5- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
126990ca |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-12539935373760 = -1 · 26 · 39 · 5 · 172 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5323,-83059] |
[a1,a2,a3,a4,a6] |
Generators |
[165:2212:1] |
Generators of the group modulo torsion |
j |
22884533780471/17201557440 |
j-invariant |
L |
13.482916188834 |
L(r)(E,1)/r! |
Ω |
0.39779231444289 |
Real period |
R |
1.4122650300845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42330j1 |
Quadratic twists by: -3 |