Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450dw |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1537442205468750 = -1 · 2 · 312 · 58 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2245,1885497] |
[a1,a2,a3,a4,a6] |
j |
109902239/134974350 |
j-invariant |
L |
2.9817956455933 |
L(r)(E,1)/r! |
Ω |
0.37272445727629 |
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 |
24150b2 14490p2 |
Quadratic twists by: -3 5 |