Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104bf |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8870400 |
Modular degree for the optimal curve |
Δ |
-8.0014666975776E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27533499,-55774667542] |
[a1,a2,a3,a4,a6] |
j |
-35091039199419/121634816 |
j-invariant |
L |
3.2946862299049 |
L(r)(E,1)/r! |
Ω |
0.032946863935306 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15138q1 121104bg1 4176t1 |
Quadratic twists by: -4 -3 29 |