Atkin-Lehner |
2- 3+ 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
123504r |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
480183552 = 28 · 36 · 31 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 -4 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-269,1425] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:54:1] [1:34:1] |
Generators of the group modulo torsion |
j |
8440225792/1875717 |
j-invariant |
L |
9.3864379378764 |
L(r)(E,1)/r! |
Ω |
1.5655387283529 |
Real period |
R |
1.4989150018612 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999938046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30876e1 |
Quadratic twists by: -4 |