Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944bx |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
16160145408 = 214 · 37 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 4 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3963,-95830] |
[a1,a2,a3,a4,a6] |
Generators |
[28430:410184:125] |
Generators of the group modulo torsion |
j |
2305199161/5412 |
j-invariant |
L |
9.2621755169218 |
L(r)(E,1)/r! |
Ω |
0.60180363170847 |
Real period |
R |
7.6953469778455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998632 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8118n1 21648o1 |
Quadratic twists by: -4 -3 |