Atkin-Lehner |
2+ 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
4026c |
Isogeny class |
Conductor |
4026 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
27216 |
Modular degree for the optimal curve |
Δ |
-617662935930744 = -1 · 23 · 321 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 11+ 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1093,1195742] |
[a1,a2,a3,a4,a6] |
Generators |
[270:4468:1] |
Generators of the group modulo torsion |
j |
144595657865303/617662935930744 |
j-invariant |
L |
3.4453811744587 |
L(r)(E,1)/r! |
Ω |
0.40424501207662 |
Real period |
R |
1.826357639301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
32208m1 128832g1 12078x1 100650bn1 |
Quadratic twists by: -4 8 -3 5 |