Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400bp |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
58320000000 = 210 · 36 · 57 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1800,-27000] |
[a1,a2,a3,a4,a6] |
j |
55296/5 |
j-invariant |
L |
2.9488006908817 |
L(r)(E,1)/r! |
Ω |
0.73720017272043 |
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 |
14400eh1 1800g1 1600a1 2880t1 |
Quadratic twists by: -4 8 -3 5 |