Atkin-Lehner |
2- 3- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
36816u |
Isogeny class |
Conductor |
36816 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2290249728 = -1 · 212 · 36 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 4 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,112,-2220] |
[a1,a2,a3,a4,a6] |
j |
37595375/559143 |
j-invariant |
L |
4.2762895699024 |
L(r)(E,1)/r! |
Ω |
0.71271492831735 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2301a1 110448bq1 |
Quadratic twists by: -4 -3 |