Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840cy |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
221083330672558080 = 215 · 322 · 5 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-161292,10481744] |
[a1,a2,a3,a4,a6] |
j |
19426060200968/9255045015 |
j-invariant |
L |
4.492146532074 |
L(r)(E,1)/r! |
Ω |
0.28075922182295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840cl3 61920bp3 41280j3 |
Quadratic twists by: -4 8 -3 |