Atkin-Lehner |
2+ 3- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18126c |
Isogeny class |
Conductor |
18126 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
300672 |
Modular degree for the optimal curve |
Δ |
-886766731001856 = -1 · 227 · 38 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 0 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3043233,2044149885] |
[a1,a2,a3,a4,a6] |
j |
-4275647350940405110033/1216415268864 |
j-invariant |
L |
0.79974098033392 |
L(r)(E,1)/r! |
Ω |
0.39987049016696 |
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 |
6042l1 |
Quadratic twists by: -3 |