Atkin-Lehner |
3- 7+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50337d |
Isogeny class |
Conductor |
50337 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3458560 |
Modular degree for the optimal curve |
Δ |
-1.0679865144558E+19 |
Discriminant |
Eigenvalues |
0 3- -1 7+ 4 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-70420278,227454650185] |
[a1,a2,a3,a4,a6] |
j |
-52977247405040016395370496/14650020774428571 |
j-invariant |
L |
0.73021267488002 |
L(r)(E,1)/r! |
Ω |
0.1825531687259 |
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 |
16779e1 |
Quadratic twists by: -3 |