Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18216m |
Isogeny class |
Conductor |
18216 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-710903558377469952 = -1 · 211 · 311 · 115 · 233 |
Discriminant |
Eigenvalues |
2- 3- 2 1 11- -3 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56379,-40892042] |
[a1,a2,a3,a4,a6] |
Generators |
[1214:40986:1] |
Generators of the group modulo torsion |
j |
-13274505046514/476160326631 |
j-invariant |
L |
5.9691443987175 |
L(r)(E,1)/r! |
Ω |
0.12459821048518 |
Real period |
R |
0.79845239824256 |
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 |
36432e1 6072h1 |
Quadratic twists by: -4 -3 |