Atkin-Lehner |
3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56277l |
Isogeny class |
Conductor |
56277 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
286035161587929 = 36 · 139 · 37 |
Discriminant |
Eigenvalues |
1 3- -2 -2 -2 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2575338,-1590097105] |
[a1,a2,a3,a4,a6] |
Generators |
[3139862:96765761:1331] |
Generators of the group modulo torsion |
j |
536832589893417/81289 |
j-invariant |
L |
4.3997339157057 |
L(r)(E,1)/r! |
Ω |
0.11917660012783 |
Real period |
R |
9.2294416668314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6253b1 4329a1 |
Quadratic twists by: -3 13 |