Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200df |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1.1196120747213E+22 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 0 5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1169208,-5113683088] |
[a1,a2,a3,a4,a6] |
Generators |
[32649546103412569708262167067657227422111051535993166:1423944902741892283495787543693802548884161940165161618:11222853505709170663612892855284363055817989333911] |
Generators of the group modulo torsion |
j |
-110478923954905/6997575467008 |
j-invariant |
L |
9.3178000416605 |
L(r)(E,1)/r! |
Ω |
0.056181197654622 |
Real period |
R |
82.926320821268 |
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 |
6650q2 53200ck2 |
Quadratic twists by: -4 5 |