Atkin-Lehner |
5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
32825a |
Isogeny class |
Conductor |
32825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
472320 |
Modular degree for the optimal curve |
Δ |
1094316259765625 = 511 · 133 · 1012 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3575005,-2600840628] |
[a1,a2,a3,a4,a6] |
Generators |
[-429974683284:214000644720:393832837] |
Generators of the group modulo torsion |
j |
323395172637059952729/70036240625 |
j-invariant |
L |
3.757475217454 |
L(r)(E,1)/r! |
Ω |
0.10979445478089 |
Real period |
R |
17.111407060368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6565c1 |
Quadratic twists by: 5 |