Atkin-Lehner |
3- 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
121605i |
Isogeny class |
Conductor |
121605 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-3.6808350555526E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 11- -4 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-405511,-308491034] |
[a1,a2,a3,a4,a6] |
Generators |
[32506:2041871:8] |
Generators of the group modulo torsion |
j |
-34402596388864/171713671875 |
j-invariant |
L |
5.4556172107613 |
L(r)(E,1)/r! |
Ω |
0.085407347190345 |
Real period |
R |
1.3307835377886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121605h1 |
Quadratic twists by: -11 |