Atkin-Lehner |
3- 5+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
50445a |
Isogeny class |
Conductor |
50445 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
9139200 |
Modular degree for the optimal curve |
Δ |
-2.1489628165736E+23 |
Discriminant |
Eigenvalues |
0 3- 5+ -5 0 -5 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-27985818,-61193578977] |
[a1,a2,a3,a4,a6] |
j |
-3325142027831979085889536/294782279365376296875 |
j-invariant |
L |
1.3061848937655 |
L(r)(E,1)/r! |
Ω |
0.032654622310668 |
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 |
16815d1 |
Quadratic twists by: -3 |