Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840bj |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-21036615598080 = -1 · 227 · 36 · 5 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -6 -5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2292,-216592] |
[a1,a2,a3,a4,a6] |
j |
6967871/110080 |
j-invariant |
L |
1.3309593991295 |
L(r)(E,1)/r! |
Ω |
0.3327395327989 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840fe1 3870j1 13760f1 |
Quadratic twists by: -4 8 -3 |