Atkin-Lehner |
2- 3- 5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
126270bj |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
248 |
Product of Tamagawa factors cp |
deg |
14165760 |
Modular degree for the optimal curve |
Δ |
-4.2624243757744E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 6 5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10920083,14242999731] |
[a1,a2,a3,a4,a6] |
Generators |
[5243:315330:1] |
Generators of the group modulo torsion |
j |
-197548603738504606086121/5846947017523200000 |
j-invariant |
L |
12.890472293811 |
L(r)(E,1)/r! |
Ω |
0.1378792523736 |
Real period |
R |
0.37697992653609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42090b1 |
Quadratic twists by: -3 |