Atkin-Lehner |
2- 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
8496k |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1217708163072 = 220 · 39 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -4 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2835,-23598] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:154:1] |
Generators of the group modulo torsion |
j |
31255875/15104 |
j-invariant |
L |
4.7254270952319 |
L(r)(E,1)/r! |
Ω |
0.68666736648357 |
Real period |
R |
3.4408414655198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1062a1 33984ba1 8496j1 |
Quadratic twists by: -4 8 -3 |