Atkin-Lehner |
3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
22575l |
Isogeny class |
Conductor |
22575 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
1828575 = 35 · 52 · 7 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 3 -6 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-133,-598] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:5:1] |
Generators of the group modulo torsion |
j |
10412204665/73143 |
j-invariant |
L |
3.8149552132633 |
L(r)(E,1)/r! |
Ω |
1.4063826703782 |
Real period |
R |
0.5425202249168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67725q1 22575j1 |
Quadratic twists by: -3 5 |