Atkin-Lehner |
3+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81627g |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
-4194896048473221 = -1 · 33 · 72 · 1310 · 23 |
Discriminant |
Eigenvalues |
1 3+ 1 7+ 0 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-71997,8032302] |
[a1,a2,a3,a4,a6] |
j |
-299393809/30429 |
j-invariant |
L |
0.8546445527236 |
L(r)(E,1)/r! |
Ω |
0.42732227438659 |
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 |
81627m1 |
Quadratic twists by: 13 |