Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64944bb |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-86059367636926464 = -1 · 219 · 39 · 112 · 413 |
Discriminant |
Eigenvalues |
2- 3- 3 4 11+ 5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1043211,410358458] |
[a1,a2,a3,a4,a6] |
Generators |
[997:19008:1] |
Generators of the group modulo torsion |
j |
-42048713138244553/28821108096 |
j-invariant |
L |
9.7898168051553 |
L(r)(E,1)/r! |
Ω |
0.33744707757976 |
Real period |
R |
0.90660668144508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8118o1 21648x1 |
Quadratic twists by: -4 -3 |