Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18228l |
Isogeny class |
Conductor |
18228 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-176462205696 = -1 · 28 · 33 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 0 -1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1045,23687] |
[a1,a2,a3,a4,a6] |
Generators |
[2:147:1] |
Generators of the group modulo torsion |
j |
-4194304/5859 |
j-invariant |
L |
6.6907122997474 |
L(r)(E,1)/r! |
Ω |
0.91394822273287 |
Real period |
R |
0.61005573887444 |
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 |
72912bh1 54684t1 2604a1 |
Quadratic twists by: -4 -3 -7 |