Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400i |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
20224000000 = 214 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 -2 -1 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18033,-926063] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:4:1] |
Generators of the group modulo torsion |
j |
2533446736/79 |
j-invariant |
L |
1.5005887759859 |
L(r)(E,1)/r! |
Ω |
0.41198496262015 |
Real period |
R |
1.8211692859975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000370205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126400bz1 7900a1 5056c1 |
Quadratic twists by: -4 8 5 |