Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240cs |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
165435457536000 = 217 · 312 · 53 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-406305,99546975] |
[a1,a2,a3,a4,a6] |
Generators |
[375:240:1] |
Generators of the group modulo torsion |
j |
56594125707224978/1262172375 |
j-invariant |
L |
6.3213974281953 |
L(r)(E,1)/r! |
Ω |
0.53024632249214 |
Real period |
R |
0.33115622976909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240m3 4560a4 54720dt4 91200fr4 |
Quadratic twists by: -4 8 -3 5 |