Atkin-Lehner |
2- 3- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81396i |
Isogeny class |
Conductor |
81396 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2.7346123126419E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1733364,-913703355] |
[a1,a2,a3,a4,a6] |
j |
-49379367039838175232/2344489294103131 |
j-invariant |
L |
0.52485033332325 |
L(r)(E,1)/r! |
Ω |
0.065606294435188 |
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 |
9044a1 |
Quadratic twists by: -3 |