Atkin-Lehner |
2+ 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162r |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-5111558419176 = -1 · 23 · 39 · 113 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 11+ -3 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4284,12568] |
[a1,a2,a3,a4,a6] |
Generators |
[3:158:1] |
Generators of the group modulo torsion |
j |
8960030533/5268024 |
j-invariant |
L |
4.3549126506578 |
L(r)(E,1)/r! |
Ω |
0.46544632098611 |
Real period |
R |
0.77970191447386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21054u1 63162bu1 |
Quadratic twists by: -3 -11 |