Atkin-Lehner |
2+ 3+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18096i |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
1073436624 = 24 · 34 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-839,-8946] |
[a1,a2,a3,a4,a6] |
Generators |
[34:26:1] |
Generators of the group modulo torsion |
j |
4087023572992/67089789 |
j-invariant |
L |
3.5427499031271 |
L(r)(E,1)/r! |
Ω |
0.88786757786997 |
Real period |
R |
1.9950891278328 |
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 |
9048p1 72384ct1 54288j1 |
Quadratic twists by: -4 8 -3 |