Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800a |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
20880000000 = 210 · 32 · 57 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1008,10512] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:150:1] |
Generators of the group modulo torsion |
j |
7086244/1305 |
j-invariant |
L |
4.8657672866266 |
L(r)(E,1)/r! |
Ω |
1.1529232107905 |
Real period |
R |
0.52754676559184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17400h1 104400z1 6960p1 |
Quadratic twists by: -4 -3 5 |