Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208dc |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-13003314429952 = -1 · 220 · 7 · 116 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11- -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4033,198207] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:484:1] [-17:512:1] |
Generators of the group modulo torsion |
j |
-15625/28 |
j-invariant |
L |
7.0521227218107 |
L(r)(E,1)/r! |
Ω |
0.63363528656833 |
Real period |
R |
2.7824060904205 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208m1 13552ba1 448f1 |
Quadratic twists by: -4 8 -11 |