Atkin-Lehner |
5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20825be |
Isogeny class |
Conductor |
20825 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-520625 = -1 · 54 · 72 · 17 |
Discriminant |
Eigenvalues |
1 -1 5- 7- 3 6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,50] |
[a1,a2,a3,a4,a6] |
j |
-60025/17 |
j-invariant |
L |
2.7819264141086 |
L(r)(E,1)/r! |
Ω |
2.7819264141087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20825i1 20825x1 |
Quadratic twists by: 5 -7 |