Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36900p |
Isogeny class |
Conductor |
36900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
4842018000 = 24 · 310 · 53 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-480,-2275] |
[a1,a2,a3,a4,a6] |
j |
8388608/3321 |
j-invariant |
L |
2.1105596305091 |
L(r)(E,1)/r! |
Ω |
1.0552798152445 |
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 |
12300i1 36900o1 |
Quadratic twists by: -3 5 |