Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8496m |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-256860315648 = -1 · 213 · 312 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 1 3 5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1365,-14758] |
[a1,a2,a3,a4,a6] |
Generators |
[13:72:1] |
Generators of the group modulo torsion |
j |
94196375/86022 |
j-invariant |
L |
4.7436129203271 |
L(r)(E,1)/r! |
Ω |
0.53911664328138 |
Real period |
R |
1.0998577440159 |
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 |
1062j1 33984br1 2832a1 |
Quadratic twists by: -4 8 -3 |