Atkin-Lehner |
2- 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450ck |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-310558374000000 = -1 · 27 · 39 · 56 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8395,792397] |
[a1,a2,a3,a4,a6] |
j |
212776173/1009792 |
j-invariant |
L |
5.4701742765839 |
L(r)(E,1)/r! |
Ω |
0.39072673380304 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72450f1 2898c1 |
Quadratic twists by: -3 5 |