Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400fq |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.5403966679163E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-841548675,7255151973250] |
[a1,a2,a3,a4,a6] |
j |
1412712966892699019449/330160465517040000 |
j-invariant |
L |
2.3673048267995 |
L(r)(E,1)/r! |
Ω |
0.036989137891267 |
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 |
8550h3 22800dj3 13680bx4 |
Quadratic twists by: -4 -3 5 |