Atkin-Lehner |
2- 3- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18612c |
Isogeny class |
Conductor |
18612 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2777834076336 = -1 · 24 · 310 · 113 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2724,-58615] |
[a1,a2,a3,a4,a6] |
Generators |
[46:405:1] |
Generators of the group modulo torsion |
j |
191645007872/238154499 |
j-invariant |
L |
4.5628936753245 |
L(r)(E,1)/r! |
Ω |
0.4318825931868 |
Real period |
R |
1.760854202549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74448bt1 6204d1 |
Quadratic twists by: -4 -3 |