Atkin-Lehner |
3- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
54075u |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
27945791015625 = 34 · 510 · 73 · 103 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20276,-1083427] |
[a1,a2,a3,a4,a6] |
Generators |
[-714:1403:8] |
Generators of the group modulo torsion |
j |
58995616439089/1788530625 |
j-invariant |
L |
9.4549306807687 |
L(r)(E,1)/r! |
Ω |
0.40083176904427 |
Real period |
R |
1.9656897254876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10815b1 |
Quadratic twists by: 5 |