Atkin-Lehner |
7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
28861f |
Isogeny class |
Conductor |
28861 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-485066827 = -1 · 77 · 19 · 31 |
Discriminant |
Eigenvalues |
0 0 2 7- -2 2 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,196,-86] |
[a1,a2,a3,a4,a6] |
Generators |
[14:73:1] |
Generators of the group modulo torsion |
j |
7077888/4123 |
j-invariant |
L |
4.7412539009371 |
L(r)(E,1)/r! |
Ω |
0.98000352610858 |
Real period |
R |
1.2094991942947 |
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 |
4123a1 |
Quadratic twists by: -7 |