Atkin-Lehner |
3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
55473r |
Isogeny class |
Conductor |
55473 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
50461488 |
Modular degree for the optimal curve |
Δ |
-3.3351587681723E+26 |
Discriminant |
Eigenvalues |
-2 3- -1 4 11+ -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-473464296,-4061665263418] |
[a1,a2,a3,a4,a6] |
Generators |
[85948380:42855864619:343] |
Generators of the group modulo torsion |
j |
-1469990616218374144/41768190339579 |
j-invariant |
L |
3.742528571135 |
L(r)(E,1)/r! |
Ω |
0.016155496810005 |
Real period |
R |
10.529848574179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55473h1 |
Quadratic twists by: 41 |