Atkin-Lehner |
2- 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
109648bb |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2557440 |
Modular degree for the optimal curve |
Δ |
-7.3093742129202E+19 |
Discriminant |
Eigenvalues |
2- -2 -1 7- 11- 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-181301,412348771] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:20559:1] |
Generators of the group modulo torsion |
j |
-160903969471627264/17845151887012219 |
j-invariant |
L |
4.1172608803898 |
L(r)(E,1)/r! |
Ω |
0.15942122034037 |
Real period |
R |
0.43043839727227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6853a1 |
Quadratic twists by: -4 |