Atkin-Lehner |
2- 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162bt |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
4866048 |
Modular degree for the optimal curve |
Δ |
7.2843188634903E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6764891,5387120907] |
[a1,a2,a3,a4,a6] |
Generators |
[2723:83202:1] |
Generators of the group modulo torsion |
j |
19917937594043/4237671168 |
j-invariant |
L |
5.9809241443521 |
L(r)(E,1)/r! |
Ω |
0.12506720731909 |
Real period |
R |
1.4944275443897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996499 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21054b1 63162q1 |
Quadratic twists by: -3 -11 |