Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450eq |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.0358897583512E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2877530,1064651847] |
[a1,a2,a3,a4,a6] |
Generators |
[12054:91293:8] |
Generators of the group modulo torsion |
j |
231331938231569617/90942310746882 |
j-invariant |
L |
10.145450090581 |
L(r)(E,1)/r! |
Ω |
0.14163472926084 |
Real period |
R |
8.9538862948082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000003945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150j3 2898e3 |
Quadratic twists by: -3 5 |