Atkin-Lehner |
2+ 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
8496g |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-11010816 = -1 · 28 · 36 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 0 -2 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33,142] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] |
Generators of the group modulo torsion |
j |
21296/59 |
j-invariant |
L |
4.4511569336809 |
L(r)(E,1)/r! |
Ω |
1.5964975497705 |
Real period |
R |
1.3940381350165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4248c1 33984bi1 944a1 |
Quadratic twists by: -4 8 -3 |