Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240bo |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
8000337600 = 26 · 36 · 52 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9100,-337150] |
[a1,a2,a3,a4,a6] |
j |
1302313788921664/125005275 |
j-invariant |
L |
4.3992661841439 |
L(r)(E,1)/r! |
Ω |
0.48880735379377 |
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 |
18240r1 9120l2 54720bf1 91200bf1 |
Quadratic twists by: -4 8 -3 5 |