Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450x |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
292448245605468750 = 2 · 312 · 512 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-165942,87966] |
[a1,a2,a3,a4,a6] |
j |
44365623586201/25674468750 |
j-invariant |
L |
2.0791002290335 |
L(r)(E,1)/r! |
Ω |
0.25988752769466 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150ch2 14490br2 |
Quadratic twists by: -3 5 |