Atkin-Lehner |
2- 3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
43248bd |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
19850832 = 24 · 34 · 172 · 53 |
Discriminant |
Eigenvalues |
2- 3- -4 0 4 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1425,-21186] |
[a1,a2,a3,a4,a6] |
j |
20014882963456/1240677 |
j-invariant |
L |
1.5540037237157 |
L(r)(E,1)/r! |
Ω |
0.77700186200259 |
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 |
10812d1 129744bt1 |
Quadratic twists by: -4 -3 |