Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360du |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-151860453310464000 = -1 · 224 · 3 · 53 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62520,19670100] |
[a1,a2,a3,a4,a6] |
j |
-273359449/1536000 |
j-invariant |
L |
3.3714162708506 |
L(r)(E,1)/r! |
Ω |
0.28095135475472 |
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 |
8670e3 240b3 |
Quadratic twists by: -4 17 |