Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
72720bo |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-241267507200 = -1 · 217 · 36 · 52 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -6 -6 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2163,45362] |
[a1,a2,a3,a4,a6] |
Generators |
[31:90:1] [-23:288:1] |
Generators of the group modulo torsion |
j |
-374805361/80800 |
j-invariant |
L |
9.0091156315288 |
L(r)(E,1)/r! |
Ω |
0.94553660162266 |
Real period |
R |
0.59550283511623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9090e1 8080h1 |
Quadratic twists by: -4 -3 |