Atkin-Lehner |
5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20825ba |
Isogeny class |
Conductor |
20825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
104125 = 53 · 72 · 17 |
Discriminant |
Eigenvalues |
0 -1 5- 7- 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-23,48] |
[a1,a2,a3,a4,a6] |
Generators |
[2:2:1] |
Generators of the group modulo torsion |
j |
229376/17 |
j-invariant |
L |
2.9097114418705 |
L(r)(E,1)/r! |
Ω |
3.2830404505991 |
Real period |
R |
0.44314279486558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20825bc1 20825z1 |
Quadratic twists by: 5 -7 |