Atkin-Lehner |
2- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44206j |
Isogeny class |
Conductor |
44206 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
2001070526464 = 212 · 232 · 314 |
Discriminant |
Eigenvalues |
2- 1 -3 -1 -3 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11552,472064] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:766:1] [-16:816:1] |
Generators of the group modulo torsion |
j |
184608131713/2166784 |
j-invariant |
L |
12.564638138266 |
L(r)(E,1)/r! |
Ω |
0.83200812998643 |
Real period |
R |
1.8876976205858 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44206r1 |
Quadratic twists by: -31 |