Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20825k |
Isogeny class |
Conductor |
20825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-3291326171875 = -1 · 59 · 73 · 173 |
Discriminant |
Eigenvalues |
2 0 5+ 7- -2 -3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,175,87281] |
[a1,a2,a3,a4,a6] |
j |
110592/614125 |
j-invariant |
L |
2.5033306732889 |
L(r)(E,1)/r! |
Ω |
0.62583266832223 |
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 |
4165g1 20825t1 |
Quadratic twists by: 5 -7 |