Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
50820h |
Isogeny class |
Conductor |
50820 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
52416000 |
Modular degree for the optimal curve |
Δ |
-8.0617292290775E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-447412665,14138132681862] |
[a1,a2,a3,a4,a6] |
j |
-349439858058052607328256/2844147488104248046875 |
j-invariant |
L |
1.6436644648764 |
L(r)(E,1)/r! |
Ω |
0.029351151163941 |
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 |
4620e1 |
Quadratic twists by: -11 |