Atkin-Lehner |
3- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18189g |
Isogeny class |
Conductor |
18189 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-69245523 = -1 · 36 · 43 · 472 |
Discriminant |
Eigenvalues |
2 3- 0 -4 3 -7 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-585,-5461] |
[a1,a2,a3,a4,a6] |
j |
-30371328000/94987 |
j-invariant |
L |
1.9411506815562 |
L(r)(E,1)/r! |
Ω |
0.48528767038904 |
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 |
2021a1 |
Quadratic twists by: -3 |