Atkin-Lehner |
2- 3+ 7+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158be |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
106 |
Product of Tamagawa factors cp |
deg |
19843200 |
Modular degree for the optimal curve |
Δ |
-3.2411743381155E+25 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18763054,272113996753] |
[a1,a2,a3,a4,a6] |
j |
37114449798004688648421/1646687160552493416448 |
j-invariant |
L |
5.2810495690145 |
L(r)(E,1)/r! |
Ω |
0.049821222394347 |
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 |
67158c1 |
Quadratic twists by: -3 |