Atkin-Lehner |
2- 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162bu |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
-9055437544633853736 = -1 · 23 · 39 · 119 · 293 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11+ 3 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,518341,-18283053] |
[a1,a2,a3,a4,a6] |
Generators |
[1785:80298:1] |
Generators of the group modulo torsion |
j |
8960030533/5268024 |
j-invariant |
L |
5.9149458547734 |
L(r)(E,1)/r! |
Ω |
0.1357555080416 |
Real period |
R |
3.6308814401607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21054c1 63162r1 |
Quadratic twists by: -3 -11 |