Atkin-Lehner |
2- 3- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
63468d |
Isogeny class |
Conductor |
63468 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-26650467072 = -1 · 28 · 310 · 41 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -2 0 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-480,8836] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:18:1] [32:162:1] |
Generators of the group modulo torsion |
j |
-65536000/142803 |
j-invariant |
L |
9.833321311879 |
L(r)(E,1)/r! |
Ω |
1.0549252661709 |
Real period |
R |
0.77677866758516 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21156e1 |
Quadratic twists by: -3 |