Atkin-Lehner |
2+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27830d |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-2.401917697414E+21 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 11- -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-161054,-2358108744] |
[a1,a2,a3,a4,a6] |
j |
-260782396264369/1355819922325000 |
j-invariant |
L |
0.26379652742145 |
L(r)(E,1)/r! |
Ω |
0.065949131855394 |
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 |
2530i1 |
Quadratic twists by: -11 |