Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240cw |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
54196854912000 = 210 · 32 · 53 · 196 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10645,227243] |
[a1,a2,a3,a4,a6] |
Generators |
[191:2280:1] |
Generators of the group modulo torsion |
j |
130287139815424/52926616125 |
j-invariant |
L |
6.5193285118977 |
L(r)(E,1)/r! |
Ω |
0.57105603735667 |
Real period |
R |
0.63423708644102 |
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 |
18240n3 4560l3 54720eb3 91200fw3 |
Quadratic twists by: -4 8 -3 5 |