Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450bm |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1.6744184663459E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12110292,-14975760384] |
[a1,a2,a3,a4,a6] |
Generators |
[-2141:34758:1] |
Generators of the group modulo torsion |
j |
17244079743478944889/1469997007491600 |
j-invariant |
L |
5.3869132613286 |
L(r)(E,1)/r! |
Ω |
0.081369726928975 |
Real period |
R |
2.7584548661165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000901 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24150cl2 14490bw2 |
Quadratic twists by: -3 5 |