Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450di |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
59789419101562500 = 22 · 310 · 510 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-174605,25542897] |
[a1,a2,a3,a4,a6] |
Generators |
[1182:13155:8] |
Generators of the group modulo torsion |
j |
51682540549249/5249002500 |
j-invariant |
L |
10.631875296075 |
L(r)(E,1)/r! |
Ω |
0.34099105209151 |
Real period |
R |
3.8974172600232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000561 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24150f2 14490bc2 |
Quadratic twists by: -3 5 |