Atkin-Lehner |
2- 3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270bu |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
1012 |
Product of Tamagawa factors cp |
deg |
550851840 |
Modular degree for the optimal curve |
Δ |
-2.9055900333001E+32 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33965287881,-2545113630897639] |
[a1,a2,a3,a4,a6] |
j |
-2446096019492848437542909948329/164012982522200064000000000 |
j-invariant |
L |
5.6054925785789 |
L(r)(E,1)/r! |
Ω |
0.0055390246680876 |
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 |
9570j1 |
Quadratic twists by: -11 |