Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350dk |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-936581109750000 = -1 · 24 · 39 · 56 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34655,-2878153] |
[a1,a2,a3,a4,a6] |
Generators |
[229:960:1] |
Generators of the group modulo torsion |
j |
-404075127457/82223856 |
j-invariant |
L |
10.244069545332 |
L(r)(E,1)/r! |
Ω |
0.17306200646769 |
Real period |
R |
3.6995661824281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21450bb1 2574j1 |
Quadratic twists by: -3 5 |