Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64575z |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
441329765625 = 39 · 57 · 7 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-181692,-29763909] |
[a1,a2,a3,a4,a6] |
Generators |
[-1359309966872:694407490661:5526456832] |
Generators of the group modulo torsion |
j |
58235112505081/38745 |
j-invariant |
L |
7.4246033467123 |
L(r)(E,1)/r! |
Ω |
0.23124135662868 |
Real period |
R |
16.053796463825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21525ba1 12915f1 |
Quadratic twists by: -3 5 |