Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13524g |
Isogeny class |
Conductor |
13524 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-2829127466656512 = -1 · 28 · 35 · 711 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -5 6 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12413,-2618001] |
[a1,a2,a3,a4,a6] |
j |
-7023616000/93934323 |
j-invariant |
L |
1.9352222059209 |
L(r)(E,1)/r! |
Ω |
0.19352222059209 |
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 |
54096bt1 40572y1 1932a1 |
Quadratic twists by: -4 -3 -7 |