Atkin-Lehner |
2- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
65450bp |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
287280 |
Modular degree for the optimal curve |
Δ |
-120314485156250 = -1 · 2 · 58 · 77 · 11 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9638,-645219] |
[a1,a2,a3,a4,a6] |
j |
-253470405505/308005082 |
j-invariant |
L |
4.835448218681 |
L(r)(E,1)/r! |
Ω |
0.23025943957193 |
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 |
65450c1 |
Quadratic twists by: 5 |