Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162cj |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-2.9635977418802E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11- 0 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,706738,-127869123] |
[a1,a2,a3,a4,a6] |
Generators |
[4271:282093:1] |
Generators of the group modulo torsion |
j |
30228456935951/22947512544 |
j-invariant |
L |
11.033957336829 |
L(r)(E,1)/r! |
Ω |
0.11695396346349 |
Real period |
R |
0.78620374844891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21054d1 5742i1 |
Quadratic twists by: -3 -11 |