Atkin-Lehner |
2+ 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450u |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
265074651562500 = 22 · 310 · 58 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-159417,-24446759] |
[a1,a2,a3,a4,a6] |
j |
39335220262729/23271300 |
j-invariant |
L |
0.95574311138772 |
L(r)(E,1)/r! |
Ω |
0.23893578097554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150bm1 19890bj1 |
Quadratic twists by: -3 5 |