Atkin-Lehner |
3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6765f |
Isogeny class |
Conductor |
6765 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
149799931875 = 312 · 54 · 11 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11+ 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2785,-53650] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:35:1] |
Generators of the group modulo torsion |
j |
2388960983460241/149799931875 |
j-invariant |
L |
3.3174147825583 |
L(r)(E,1)/r! |
Ω |
0.65977432659918 |
Real period |
R |
0.41900877426503 |
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 |
108240bd3 20295m4 33825d3 74415k3 |
Quadratic twists by: -4 -3 5 -11 |