Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456co |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-3425283663200256 = -1 · 232 · 3 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 13- -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21249,3050751] |
[a1,a2,a3,a4,a6] |
Generators |
[5:1716:1] |
Generators of the group modulo torsion |
j |
-4047806261953/13066420224 |
j-invariant |
L |
4.2634799770827 |
L(r)(E,1)/r! |
Ω |
0.39119441959443 |
Real period |
R |
1.8164369443643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27456k1 6864k1 82368eh1 |
Quadratic twists by: -4 8 -3 |