Atkin-Lehner |
2+ 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
121024j |
Isogeny class |
Conductor |
121024 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-886992478879744 = -1 · 214 · 316 · 61 |
Discriminant |
Eigenvalues |
2+ 2 3 -1 -3 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64689,-6471343] |
[a1,a2,a3,a4,a6] |
j |
-1827266108870608/54137724541 |
j-invariant |
L |
3.5860364623821 |
L(r)(E,1)/r! |
Ω |
0.14941818090337 |
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 |
121024r2 7564a2 |
Quadratic twists by: -4 8 |