Atkin-Lehner |
2- 5- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
55550w |
Isogeny class |
Conductor |
55550 |
Conductor |
∏ cp |
348 |
Product of Tamagawa factors cp |
deg |
3173760 |
Modular degree for the optimal curve |
Δ |
-1.4237073145856E+22 |
Discriminant |
Eigenvalues |
2- -1 5- -3 11- -2 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1418987,5704353531] |
[a1,a2,a3,a4,a6] |
Generators |
[-1465:22732:1] [-409:71308:1] |
Generators of the group modulo torsion |
j |
161781517249139971/7289381450678272 |
j-invariant |
L |
11.106946362171 |
L(r)(E,1)/r! |
Ω |
0.094906058020818 |
Real period |
R |
0.33629584033493 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55550l1 |
Quadratic twists by: 5 |