Atkin-Lehner |
2+ 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450m |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12499974553500 = 22 · 39 · 53 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1523382,724085576] |
[a1,a2,a3,a4,a6] |
Generators |
[725:-926:1] |
Generators of the group modulo torsion |
j |
158909194494247023/5080516 |
j-invariant |
L |
3.1952173455276 |
L(r)(E,1)/r! |
Ω |
0.52266760241849 |
Real period |
R |
0.76416094359398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985186 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450cu2 72450cz2 |
Quadratic twists by: -3 5 |