Atkin-Lehner |
2+ 3- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290bj |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
131155166822400 = 216 · 39 · 52 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16749,630693] |
[a1,a2,a3,a4,a6] |
j |
712815962958289/179911065600 |
j-invariant |
L |
2.1922985926659 |
L(r)(E,1)/r! |
Ω |
0.54807464801003 |
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 |
17430bf1 |
Quadratic twists by: -3 |