Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296bs |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55617408 |
Modular degree for the optimal curve |
Δ |
-3.6180994672637E+26 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 5 -6 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-312539480,-2315140835856] |
[a1,a2,a3,a4,a6] |
j |
-48534394252061881/5201058594816 |
j-invariant |
L |
1.7488360110458 |
L(r)(E,1)/r! |
Ω |
0.017845269265701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162n1 121296cq1 |
Quadratic twists by: -4 -19 |