Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296cy |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1214186545152 = -1 · 213 · 32 · 74 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 6 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2312,32084] |
[a1,a2,a3,a4,a6] |
j |
48627125/43218 |
j-invariant |
L |
4.5042986598644 |
L(r)(E,1)/r! |
Ω |
0.56303713125413 |
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 |
15162b2 121296by2 |
Quadratic twists by: -4 -19 |