Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
72720n |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-508923648000 = -1 · 211 · 39 · 53 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 4 -3 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,717,-33518] |
[a1,a2,a3,a4,a6] |
Generators |
[29:108:1] |
Generators of the group modulo torsion |
j |
27303838/340875 |
j-invariant |
L |
6.281493384181 |
L(r)(E,1)/r! |
Ω |
0.45606214451024 |
Real period |
R |
0.86083298352761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994539 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36360e1 24240l1 |
Quadratic twists by: -4 -3 |