Atkin-Lehner |
3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55575bh |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-5.752785654103E+19 |
Discriminant |
Eigenvalues |
1 3- 5- -3 1 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,874008,-185301959] |
[a1,a2,a3,a4,a6] |
Generators |
[944:38003:1] |
Generators of the group modulo torsion |
j |
259287806165855/202018261653 |
j-invariant |
L |
5.4453485240069 |
L(r)(E,1)/r! |
Ω |
0.11033274202092 |
Real period |
R |
4.1128230419918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18525j1 55575n1 |
Quadratic twists by: -3 5 |