Atkin-Lehner |
3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
118815b |
Isogeny class |
Conductor |
118815 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1451008941247828845 = 38 · 5 · 897 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18812540,-31414265440] |
[a1,a2,a3,a4,a6] |
j |
1481582988342001/2919645 |
j-invariant |
L |
0.57993186814332 |
L(r)(E,1)/r! |
Ω |
0.072491610252263 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1335b3 |
Quadratic twists by: 89 |