Atkin-Lehner |
2- 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450dn |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
552 |
Product of Tamagawa factors cp |
deg |
7948800 |
Modular degree for the optimal curve |
Δ |
1.6677055070208E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -5 13+ 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8612555,-9525878053] |
[a1,a2,a3,a4,a6] |
Generators |
[-1881:4990:1] [-1685:14986:1] |
Generators of the group modulo torsion |
j |
248103063516113545/5856414400512 |
j-invariant |
L |
15.952072031271 |
L(r)(E,1)/r! |
Ω |
0.088255350539826 |
Real period |
R |
0.32744395708791 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33150x1 99450bg1 |
Quadratic twists by: -3 5 |