Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240cs |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
269485056000000 = 216 · 36 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26305,1430975] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:1440:1] |
Generators of the group modulo torsion |
j |
30716746229956/4112015625 |
j-invariant |
L |
6.3213974281953 |
L(r)(E,1)/r! |
Ω |
0.53024632249214 |
Real period |
R |
0.66231245953819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18240m2 4560a2 54720dt2 91200fr2 |
Quadratic twists by: -4 8 -3 5 |