Atkin-Lehner |
3- 5+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
76095c |
Isogeny class |
Conductor |
76095 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-267532773781640625 = -1 · 310 · 58 · 194 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-376470,92419825] |
[a1,a2,a3,a4,a6] |
j |
-8094461369760724321/366985972265625 |
j-invariant |
L |
1.2279462663946 |
L(r)(E,1)/r! |
Ω |
0.30698657444432 |
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 |
25365f3 |
Quadratic twists by: -3 |