Atkin-Lehner |
7+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
47971a |
Isogeny class |
Conductor |
47971 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-5643740179 = -1 · 78 · 11 · 89 |
Discriminant |
Eigenvalues |
-1 -2 3 7+ 11- 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2794,56727] |
[a1,a2,a3,a4,a6] |
j |
-418435297/979 |
j-invariant |
L |
1.3550300486964 |
L(r)(E,1)/r! |
Ω |
1.3550300484014 |
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 |
47971m1 |
Quadratic twists by: -7 |