Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450dc |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3579941421000 = 23 · 33 · 53 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13970,632457] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:795:1] |
Generators of the group modulo torsion |
j |
89332607016927/1060723384 |
j-invariant |
L |
10.193752159035 |
L(r)(E,1)/r! |
Ω |
0.7925955815853 |
Real period |
R |
0.53588448265336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450q2 72450l2 |
Quadratic twists by: -3 5 |