Atkin-Lehner |
5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20825s |
Isogeny class |
Conductor |
20825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
781262890625 = 58 · 76 · 17 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10438,403906] |
[a1,a2,a3,a4,a6] |
Generators |
[3360:25994:27] |
Generators of the group modulo torsion |
j |
68417929/425 |
j-invariant |
L |
4.7885657387032 |
L(r)(E,1)/r! |
Ω |
0.90124846824123 |
Real period |
R |
5.3132581163195 |
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 |
4165j1 425d1 |
Quadratic twists by: 5 -7 |