Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240x |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8.2627920107888E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5007585,-4083700383] |
[a1,a2,a3,a4,a6] |
Generators |
[14048157579:248064872328:5177717] |
Generators of the group modulo torsion |
j |
52974743974734147769/3152005008998400 |
j-invariant |
L |
5.2472998619659 |
L(r)(E,1)/r! |
Ω |
0.10129892602858 |
Real period |
R |
12.950038237536 |
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 |
18240cq2 570d2 54720bl2 91200ea2 |
Quadratic twists by: -4 8 -3 5 |