Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450u |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.041073029472E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2437308,514066216] |
[a1,a2,a3,a4,a6] |
j |
140574743422291079/91397357868600 |
j-invariant |
L |
0.77810538499166 |
L(r)(E,1)/r! |
Ω |
0.097263176924425 |
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 |
24150bp4 14490bq4 |
Quadratic twists by: -3 5 |