Atkin-Lehner |
3+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50127d |
Isogeny class |
Conductor |
50127 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
842484489 = 3 · 77 · 11 · 31 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7326,-244425] |
[a1,a2,a3,a4,a6] |
j |
369682454233/7161 |
j-invariant |
L |
1.0320615728362 |
L(r)(E,1)/r! |
Ω |
0.51603078616963 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7161g1 |
Quadratic twists by: -7 |