Atkin-Lehner |
2+ 3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650bi |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1.9141819355538E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-951376,-288629602] |
[a1,a2,a3,a4,a6] |
Generators |
[1102:686:1] |
Generators of the group modulo torsion |
j |
6094802039817492721/1225076438754432 |
j-invariant |
L |
4.7834945234194 |
L(r)(E,1)/r! |
Ω |
0.15501791837007 |
Real period |
R |
3.0857687760022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002398 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2706n2 |
Quadratic twists by: 5 |