Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450db |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
44365482000 = 24 · 39 · 53 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1325,15877] |
[a1,a2,a3,a4,a6] |
Generators |
[13:20:1] |
Generators of the group modulo torsion |
j |
104487111/18032 |
j-invariant |
L |
10.229768528836 |
L(r)(E,1)/r! |
Ω |
1.0856316456744 |
Real period |
R |
1.1778590565595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450p1 72450k1 |
Quadratic twists by: -3 5 |