Atkin-Lehner |
2+ 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450d |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-97637695312500 = -1 · 22 · 33 · 512 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6708,424116] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-882:1] |
Generators of the group modulo torsion |
j |
79119341757/231437500 |
j-invariant |
L |
4.0168980245038 |
L(r)(E,1)/r! |
Ω |
0.42194730417971 |
Real period |
R |
1.1899880582445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450co2 14490bk2 |
Quadratic twists by: -3 5 |