Atkin-Lehner |
2- 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54180j |
Isogeny class |
Conductor |
54180 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
789944400 = 24 · 38 · 52 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-948,11153] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:135:1] [-8:135:1] |
Generators of the group modulo torsion |
j |
8077950976/67725 |
j-invariant |
L |
8.6517840259887 |
L(r)(E,1)/r! |
Ω |
1.6006217775355 |
Real period |
R |
0.90087741187145 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060d1 |
Quadratic twists by: -3 |