Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18032g |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-43294832 = -1 · 24 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 3 0 7- 0 5 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2695,-53851] |
[a1,a2,a3,a4,a6] |
j |
-1149984000/23 |
j-invariant |
L |
5.963508609539 |
L(r)(E,1)/r! |
Ω |
0.33130603386328 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9016k1 72128bu1 368g1 |
Quadratic twists by: -4 8 -7 |