Atkin-Lehner |
7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
47971k |
Isogeny class |
Conductor |
47971 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
-149056821867569 = -1 · 712 · 112 · 89 |
Discriminant |
Eigenvalues |
-1 1 3 7- 11- 0 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5291,-567974] |
[a1,a2,a3,a4,a6] |
j |
139233463487/1266962081 |
j-invariant |
L |
2.2900817997258 |
L(r)(E,1)/r! |
Ω |
0.28626022499032 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6853h1 |
Quadratic twists by: -7 |