Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432bl |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10483200 |
Modular degree for the optimal curve |
Δ |
-2.6937457426014E+25 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 11+ 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-458568291,3787912054114] |
[a1,a2,a3,a4,a6] |
Generators |
[4055:1412478:1] |
Generators of the group modulo torsion |
j |
-3571480626044740843224673/9021299988885921792 |
j-invariant |
L |
3.4541626144377 |
L(r)(E,1)/r! |
Ω |
0.06692403489642 |
Real period |
R |
6.4516481630703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4554o1 12144bo1 |
Quadratic twists by: -4 -3 |