Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18720bq |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
8966982735360000 = 212 · 313 · 54 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-230632572,1348121630464] |
[a1,a2,a3,a4,a6] |
Generators |
[5093:552825:1] |
Generators of the group modulo torsion |
j |
454357982636417669333824/3003024375 |
j-invariant |
L |
5.3107288711759 |
L(r)(E,1)/r! |
Ω |
0.20131517995761 |
Real period |
R |
2.1983475829187 |
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 |
18720bo2 37440dr1 6240l2 93600v4 |
Quadratic twists by: -4 8 -3 5 |