Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bj |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6359040 |
Modular degree for the optimal curve |
Δ |
-7.8830418913929E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 1 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2137336,-1807951760] |
[a1,a2,a3,a4,a6] |
Generators |
[49206:502550:27] |
Generators of the group modulo torsion |
j |
-3366353209/2457600 |
j-invariant |
L |
3.2226424710642 |
L(r)(E,1)/r! |
Ω |
0.060498501472145 |
Real period |
R |
4.439011475189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998878719 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870m1 126960ca1 |
Quadratic twists by: -4 -23 |