Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450cj |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
1.194603096375E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 13+ 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-599180,-64781553] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:3105:1] |
Generators of the group modulo torsion |
j |
3341699447425/1678015872 |
j-invariant |
L |
9.9982608475713 |
L(r)(E,1)/r! |
Ω |
0.18084039849423 |
Real period |
R |
1.974562915009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33150c1 99450bt1 |
Quadratic twists by: -3 5 |