Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350bm |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-8.05876012656E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31943817,69500291341] |
[a1,a2,a3,a4,a6] |
Generators |
[2549:66788:1] |
Generators of the group modulo torsion |
j |
-316472948332146183241/7074906009600 |
j-invariant |
L |
4.101321008788 |
L(r)(E,1)/r! |
Ω |
0.17804709794831 |
Real period |
R |
0.4798965479462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21450bo3 12870bw3 |
Quadratic twists by: -3 5 |