Atkin-Lehner |
2+ 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424i |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2.2301477343712E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 6 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-759418369,-8054825372159] |
[a1,a2,a3,a4,a6] |
Generators |
[26302032377751655108443464180630712774522591872229123410370137826739343779576948074832196937290567506547615384569679423127794039087686267919500889302605:-5861752845881454940046448608823266792554405456838370527136480202417861079647467766082145836980812014290499837618160797189697158109903105336360157340614448:413549641835845426027572022962166249995208470373861173795603920703551014030266274818071351957587820072173852311308062747642882782067482611416920947] |
Generators of the group modulo torsion |
j |
-184768138755655701309378433/8507338464245556 |
j-invariant |
L |
6.7772933193308 |
L(r)(E,1)/r! |
Ω |
0.014379682046236 |
Real period |
R |
235.65518686502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424dh3 1482l3 |
Quadratic twists by: -4 8 |