Atkin-Lehner |
3+ 5+ 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
113775a |
Isogeny class |
Conductor |
113775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7291200 |
Modular degree for the optimal curve |
Δ |
-1.0555529492574E+21 |
Discriminant |
Eigenvalues |
0 3+ 5+ 5 0 -6 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8268633,9286927793] |
[a1,a2,a3,a4,a6] |
Generators |
[627851:5752641:343] |
Generators of the group modulo torsion |
j |
-4001334767929099288576/67555388752471875 |
j-invariant |
L |
4.6770066173517 |
L(r)(E,1)/r! |
Ω |
0.15573367852814 |
Real period |
R |
7.5080204812779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22755h1 |
Quadratic twists by: 5 |