Atkin-Lehner |
2- 3- 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18012f |
Isogeny class |
Conductor |
18012 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
12320208 = 24 · 33 · 192 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 6 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-717,-7632] |
[a1,a2,a3,a4,a6] |
Generators |
[4080:8664:125] |
Generators of the group modulo torsion |
j |
2551330766848/770013 |
j-invariant |
L |
6.7729113182882 |
L(r)(E,1)/r! |
Ω |
0.92252292544267 |
Real period |
R |
4.8944845571458 |
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 |
72048p1 54036e1 |
Quadratic twists by: -4 -3 |