Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450bc |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-1150216200 = -1 · 23 · 36 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,153,-1499] |
[a1,a2,a3,a4,a6] |
j |
21653735/63112 |
j-invariant |
L |
1.5833248695959 |
L(r)(E,1)/r! |
Ω |
0.79166244590043 |
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 |
8050o1 72450fb1 |
Quadratic twists by: -3 5 |