Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190m |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
8492988381696000 = 212 · 312 · 53 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-231525,-42591339] |
[a1,a2,a3,a4,a6] |
j |
1882742462388824401/11650189824000 |
j-invariant |
L |
0.8709071618923 |
L(r)(E,1)/r! |
Ω |
0.21772679047307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520cq1 2730bd1 40950dm1 57330ce1 |
Quadratic twists by: -4 -3 5 -7 |