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 |
Δ |
-15194024312832000 = -1 · 221 · 36 · 53 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -6 -5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20748,6041072] |
[a1,a2,a3,a4,a6] |
j |
-5168743489/79507000 |
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 |
123840fe2 3870j2 13760f2 |
Quadratic twists by: -4 8 -3 |