Atkin-Lehner |
2+ 7- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
64792d |
Isogeny class |
Conductor |
64792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82176 |
Modular degree for the optimal curve |
Δ |
-1476220928 = -1 · 211 · 7 · 13 · 892 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 3 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25704,-1594768] |
[a1,a2,a3,a4,a6] |
Generators |
[150216490204:1120173568163:709732288] |
Generators of the group modulo torsion |
j |
-917091764163794/720811 |
j-invariant |
L |
6.4330044216108 |
L(r)(E,1)/r! |
Ω |
0.18852456718516 |
Real period |
R |
17.061448589066 |
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 |
129584c1 |
Quadratic twists by: -4 |