Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
26280b |
Isogeny class |
Conductor |
26280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
2234603116800 = 28 · 314 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4503,91402] |
[a1,a2,a3,a4,a6] |
Generators |
[71:360:1] |
Generators of the group modulo torsion |
j |
54108072016/11973825 |
j-invariant |
L |
5.6055264441211 |
L(r)(E,1)/r! |
Ω |
0.77464508430443 |
Real period |
R |
1.8090628075031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52560c1 8760h1 |
Quadratic twists by: -4 -3 |