Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18612m |
Isogeny class |
Conductor |
18612 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-22957306416 = -1 · 24 · 310 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1236,18245] |
[a1,a2,a3,a4,a6] |
Generators |
[67:486:1] |
Generators of the group modulo torsion |
j |
-17903239168/1968219 |
j-invariant |
L |
4.8330053076793 |
L(r)(E,1)/r! |
Ω |
1.1707148385816 |
Real period |
R |
2.064125758214 |
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 |
74448x1 6204a1 |
Quadratic twists by: -4 -3 |