Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240cf |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
3742848000 = 210 · 34 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13525,-600923] |
[a1,a2,a3,a4,a6] |
j |
267219216891904/3655125 |
j-invariant |
L |
2.6562207633677 |
L(r)(E,1)/r! |
Ω |
0.44270346056129 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240bl1 4560v1 54720dx1 91200ig1 |
Quadratic twists by: -4 8 -3 5 |