Atkin-Lehner |
3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53067u |
Isogeny class |
Conductor |
53067 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1425600 |
Modular degree for the optimal curve |
Δ |
-6209776849769907939 = -1 · 310 · 76 · 197 |
Discriminant |
Eigenvalues |
2 3- -1 7- -3 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,347884,-90090241] |
[a1,a2,a3,a4,a6] |
j |
841232384/1121931 |
j-invariant |
L |
2.5428415701121 |
L(r)(E,1)/r! |
Ω |
0.12714207853673 |
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 |
1083c1 2793f1 |
Quadratic twists by: -7 -19 |