Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69312bc |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
-9.7368283206561E+18 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 2 -5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15318433,-23082078529] |
[a1,a2,a3,a4,a6] |
j |
-89289015625/2187 |
j-invariant |
L |
1.6025612051739 |
L(r)(E,1)/r! |
Ω |
0.038156219025306 |
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 |
69312cc2 1083a2 69312k2 |
Quadratic twists by: -4 8 -19 |