Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
63756z |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
330511104 = 28 · 36 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ 3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-279,1566] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:46:1] |
Generators of the group modulo torsion |
j |
12869712/1771 |
j-invariant |
L |
4.7925281129895 |
L(r)(E,1)/r! |
Ω |
1.6469395302025 |
Real period |
R |
2.9099599741805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7084k1 |
Quadratic twists by: -3 |