Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800ff |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
27471052800000000 = 222 · 36 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 5 7 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82875,-4553750] |
[a1,a2,a3,a4,a6] |
j |
53969305/23552 |
j-invariant |
L |
3.5140984323069 |
L(r)(E,1)/r! |
Ω |
0.29284153338098 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10350bu1 9200bk1 82800dv1 |
Quadratic twists by: -4 -3 5 |