Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
5922j |
Isogeny class |
Conductor |
5922 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-139253603328 = -1 · 210 · 310 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-432,-18176] |
[a1,a2,a3,a4,a6] |
j |
-12246522625/191020032 |
j-invariant |
L |
1.7756452037155 |
L(r)(E,1)/r! |
Ω |
0.44391130092887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47376bd1 1974f1 41454m1 |
Quadratic twists by: -4 -3 -7 |