Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050ch |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-15597022760550 = -1 · 2 · 314 · 52 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4199,-158182] |
[a1,a2,a3,a4,a6] |
Generators |
[208:-3223:1] [76:737:1] |
Generators of the group modulo torsion |
j |
246145523125/468730962 |
j-invariant |
L |
10.51929279103 |
L(r)(E,1)/r! |
Ω |
0.36508559248047 |
Real period |
R |
0.51452184886067 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050gs1 127050hn1 |
Quadratic twists by: 5 -11 |