Atkin-Lehner |
3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
5325i |
Isogeny class |
Conductor |
5325 |
Conductor |
∏ cp |
23 |
Product of Tamagawa factors cp |
deg |
160080 |
Modular degree for the optimal curve |
Δ |
6.5275055632002E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 -5 -2 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2193451,-1188599827] |
[a1,a2,a3,a4,a6] |
j |
119510811483499825/6684165696717 |
j-invariant |
L |
2.8632373329138 |
L(r)(E,1)/r! |
Ω |
0.1244885796919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85200cf1 15975n1 5325c1 |
Quadratic twists by: -4 -3 5 |