Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640cm |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-677460686400000000 = -1 · 212 · 32 · 58 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,202040,-18678608] |
[a1,a2,a3,a4,a6] |
j |
4733169839/3515625 |
j-invariant |
L |
2.5705629440451 |
L(r)(E,1)/r! |
Ω |
0.16066018740904 |
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 |
5415k6 240d6 |
Quadratic twists by: -4 -19 |