Atkin-Lehner |
2+ 3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
18408a |
Isogeny class |
Conductor |
18408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
993442053936384 = 28 · 311 · 135 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -4 0 13+ 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77865,-8198451] |
[a1,a2,a3,a4,a6] |
j |
203946467835083776/3880633023189 |
j-invariant |
L |
1.1445253314618 |
L(r)(E,1)/r! |
Ω |
0.28613133286546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36816c1 55224n1 |
Quadratic twists by: -4 -3 |