Atkin-Lehner |
3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7191d |
Isogeny class |
Conductor |
7191 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-66989067658407 = -1 · 310 · 176 · 47 |
Discriminant |
Eigenvalues |
-1 3- 0 0 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6035,434666] |
[a1,a2,a3,a4,a6] |
j |
-33339611931625/91891725183 |
j-invariant |
L |
1.0909742247176 |
L(r)(E,1)/r! |
Ω |
0.54548711235881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115056u2 2397e2 122247h2 |
Quadratic twists by: -4 -3 17 |