Atkin-Lehner |
2- 3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
105996f |
Isogeny class |
Conductor |
105996 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-1344015217722672 = -1 · 24 · 310 · 117 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22587,1192464] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1092:1] |
Generators of the group modulo torsion |
j |
44957696000/47416347 |
j-invariant |
L |
6.7376206779931 |
L(r)(E,1)/r! |
Ω |
0.31891620332726 |
Real period |
R |
4.2253235153761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9636a1 |
Quadratic twists by: -11 |