Atkin-Lehner |
2- 3+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328br |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-6277928976384 = -1 · 217 · 3 · 135 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 -4 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1919,115489] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:208:1] |
Generators of the group modulo torsion |
j |
5959535038/47896797 |
j-invariant |
L |
4.1020247952202 |
L(r)(E,1)/r! |
Ω |
0.55026003766909 |
Real period |
R |
0.37273511486353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107328z1 26832g1 |
Quadratic twists by: -4 8 |