Atkin-Lehner |
2- 3+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6834j |
Isogeny class |
Conductor |
6834 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
412160 |
Modular degree for the optimal curve |
Δ |
-1.0718027574907E+21 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 -4 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9163691,-10796488423] |
[a1,a2,a3,a4,a6] |
j |
-85101070681202968915157809/1071802757490712510464 |
j-invariant |
L |
1.7341487371266 |
L(r)(E,1)/r! |
Ω |
0.043353718428165 |
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 |
54672ba1 20502p1 116178be1 |
Quadratic twists by: -4 -3 17 |