Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168cu |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3373181042688 = -1 · 217 · 32 · 192 · 892 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1040,87764] |
[a1,a2,a3,a4,a6] |
Generators |
[20:342:1] |
Generators of the group modulo torsion |
j |
30342134159/823530528 |
j-invariant |
L |
3.8491020074411 |
L(r)(E,1)/r! |
Ω |
0.59648645721237 |
Real period |
R |
1.6132394801867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10146i2 |
Quadratic twists by: -4 |