Atkin-Lehner |
2+ 3+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
18408d |
Isogeny class |
Conductor |
18408 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
895954176 = 28 · 33 · 133 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-241,-11] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:26:1] |
Generators of the group modulo torsion |
j |
6072054784/3499821 |
j-invariant |
L |
3.878670461552 |
L(r)(E,1)/r! |
Ω |
1.3197474640925 |
Real period |
R |
0.24491241488001 |
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 |
36816h1 55224q1 |
Quadratic twists by: -4 -3 |