Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8850bg |
Isogeny class |
Conductor |
8850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
404992 |
Modular degree for the optimal curve |
Δ |
-6.1161098890912E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 2 1 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2012578,1161410372] |
[a1,a2,a3,a4,a6] |
j |
-7212268321128838149749/489288791127293952 |
j-invariant |
L |
6.2032146722954 |
L(r)(E,1)/r! |
Ω |
0.19385045850923 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70800ce1 26550bh1 8850e1 |
Quadratic twists by: -4 -3 5 |