Atkin-Lehner |
2+ 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45408f |
Isogeny class |
Conductor |
45408 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1029618044928 = -1 · 212 · 312 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1551,-42273] |
[a1,a2,a3,a4,a6] |
j |
100674415808/251371593 |
j-invariant |
L |
2.7132111968358 |
L(r)(E,1)/r! |
Ω |
0.45220186616111 |
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 |
45408a2 90816bq1 |
Quadratic twists by: -4 8 |