Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640cr |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
408576 |
Modular degree for the optimal curve |
Δ |
-22470140412887040 = -1 · 216 · 319 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 2 1 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-143521,22087775] |
[a1,a2,a3,a4,a6] |
Generators |
[191:-1296:1] |
Generators of the group modulo torsion |
j |
-4988766332702884/342867132765 |
j-invariant |
L |
8.3598618949623 |
L(r)(E,1)/r! |
Ω |
0.37462523040401 |
Real period |
R |
0.29362192906401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640g1 14160e1 |
Quadratic twists by: -4 8 |