Atkin-Lehner |
2- 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
72720cb |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-586280042496000 = -1 · 218 · 311 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -5 0 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1087707,436633994] |
[a1,a2,a3,a4,a6] |
Generators |
[-227:25920:1] [-65:22518:1] |
Generators of the group modulo torsion |
j |
-47661971896666009/196344000 |
j-invariant |
L |
10.227514466972 |
L(r)(E,1)/r! |
Ω |
0.45427456186117 |
Real period |
R |
0.46904061100909 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9090z1 24240x1 |
Quadratic twists by: -4 -3 |