Atkin-Lehner |
3+ 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
124545d |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8426880 |
Modular degree for the optimal curve |
Δ |
-2.760568044523E+21 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 -1 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3682568,-3714860403] |
[a1,a2,a3,a4,a6] |
j |
-17115666389011/8554921875 |
j-invariant |
L |
0.63876168733719 |
L(r)(E,1)/r! |
Ω |
0.05323014872835 |
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 |
124545z1 |
Quadratic twists by: -19 |