Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488i |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.1678803277183E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-390164257,-2880370652255] |
[a1,a2,a3,a4,a6] |
Generators |
[14080684914401340112272029834234797906604967056563348300581694:4267013672390626464795433578828016479187018278266968403358921675:146366877348940905277473691096188025883977917937659428056] |
Generators of the group modulo torsion |
j |
211293405175481/6973568802 |
j-invariant |
L |
6.284109576938 |
L(r)(E,1)/r! |
Ω |
0.034038173680717 |
Real period |
R |
92.309734885954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488ds4 1734f4 55488bm4 |
Quadratic twists by: -4 8 17 |