Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
26264l |
Isogeny class |
Conductor |
26264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
367696 = 24 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ -1 3 7- -6 5 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79,-244] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:1:1] |
Generators of the group modulo torsion |
j |
10061824/67 |
j-invariant |
L |
5.1386138321528 |
L(r)(E,1)/r! |
Ω |
1.6003312238441 |
Real period |
R |
0.80274223166898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52528h1 26264h1 |
Quadratic twists by: -4 -7 |