Atkin-Lehner |
2- 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450cv |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
60858000000000 = 210 · 33 · 59 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47104055,124444770447] |
[a1,a2,a3,a4,a6] |
Generators |
[3963:-1954:1] |
Generators of the group modulo torsion |
j |
219181950070420668759/1154048 |
j-invariant |
L |
10.008607543958 |
L(r)(E,1)/r! |
Ω |
0.30154758092839 |
Real period |
R |
1.6595403473603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450n2 72450t2 |
Quadratic twists by: -3 5 |