Atkin-Lehner |
3+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81627o |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
3275773137 = 33 · 74 · 133 · 23 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 2 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-380,603] |
[a1,a2,a3,a4,a6] |
j |
2773505125/1491021 |
j-invariant |
L |
2.4725537524062 |
L(r)(E,1)/r! |
Ω |
1.2362768771369 |
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 |
81627j1 |
Quadratic twists by: 13 |