Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
18396c |
Isogeny class |
Conductor |
18396 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-18023959296 = -1 · 28 · 39 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 0 -6 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,648,1188] |
[a1,a2,a3,a4,a6] |
Generators |
[48:378:1] |
Generators of the group modulo torsion |
j |
5971968/3577 |
j-invariant |
L |
5.449619745617 |
L(r)(E,1)/r! |
Ω |
0.75112249114658 |
Real period |
R |
0.60460841494466 |
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 |
73584l1 18396d1 128772d1 |
Quadratic twists by: -4 -3 -7 |