Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296bq |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1641600 |
Modular degree for the optimal curve |
Δ |
-219220027415106816 = -1 · 28 · 3 · 75 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 1 4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-454980,-120100836] |
[a1,a2,a3,a4,a6] |
j |
-2395702096/50421 |
j-invariant |
L |
2.4785301247666 |
L(r)(E,1)/r! |
Ω |
0.091797350184477 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30324j1 121296co1 |
Quadratic twists by: -4 -19 |