Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664dk |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-21502623744 = -1 · 219 · 33 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 1 -5 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14721,682623] |
[a1,a2,a3,a4,a6] |
Generators |
[63:-96:1] [18:651:1] |
Generators of the group modulo torsion |
j |
-1345938541921/82026 |
j-invariant |
L |
9.9038316014941 |
L(r)(E,1)/r! |
Ω |
1.1460114508159 |
Real period |
R |
0.36008335673128 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41664p1 10416s1 124992eu1 |
Quadratic twists by: -4 8 -3 |