Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240cy |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
232381218816000000 = 230 · 36 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26559425,-52692530625] |
[a1,a2,a3,a4,a6] |
Generators |
[18895:2488320:1] |
Generators of the group modulo torsion |
j |
7903870428425797297009/886464000000 |
j-invariant |
L |
6.8110692850898 |
L(r)(E,1)/r! |
Ω |
0.066503559231367 |
Real period |
R |
2.8449059150662 |
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 |
18240q2 4560n2 54720ed2 91200fz2 |
Quadratic twists by: -4 8 -3 5 |