Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26928o |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
418784256 = 210 · 37 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1659,-25990] |
[a1,a2,a3,a4,a6] |
Generators |
[58:270:1] |
Generators of the group modulo torsion |
j |
676449508/561 |
j-invariant |
L |
4.9406640548334 |
L(r)(E,1)/r! |
Ω |
0.74809987114189 |
Real period |
R |
3.3021420303762 |
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 |
13464k1 107712fg1 8976f1 |
Quadratic twists by: -4 8 -3 |