Atkin-Lehner |
2- 3- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
61008l |
Isogeny class |
Conductor |
61008 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
4867200 |
Modular degree for the optimal curve |
Δ |
8.0533452154252E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 3 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27285397,54832361807] |
[a1,a2,a3,a4,a6] |
Generators |
[2927:7290:1] |
Generators of the group modulo torsion |
j |
8775555032195144989278208/3145837974775464933 |
j-invariant |
L |
10.792898769458 |
L(r)(E,1)/r! |
Ω |
0.15603194810999 |
Real period |
R |
2.6604262535028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15252a1 |
Quadratic twists by: -4 |