Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944bv |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-636516144 = -1 · 24 · 36 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11- 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24,-1213] |
[a1,a2,a3,a4,a6] |
Generators |
[13:36:1] |
Generators of the group modulo torsion |
j |
131072/54571 |
j-invariant |
L |
8.8083879920682 |
L(r)(E,1)/r! |
Ω |
0.75968717879331 |
Real period |
R |
1.9324594469522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16236b1 7216e1 |
Quadratic twists by: -4 -3 |