Atkin-Lehner |
2- 3+ 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
90480bf |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
17772279563273040 = 24 · 320 · 5 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-86505,7428960] |
[a1,a2,a3,a4,a6] |
j |
4474375016012824576/1110767472704565 |
j-invariant |
L |
0.72876287176962 |
L(r)(E,1)/r! |
Ω |
0.36438147148235 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620i1 |
Quadratic twists by: -4 |