Atkin-Lehner |
2+ 3+ 37- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11766b |
Isogeny class |
Conductor |
11766 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
83160 |
Modular degree for the optimal curve |
Δ |
-35678777309414784 = -1 · 27 · 33 · 375 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ -1 0 -1 3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,82272,-268416] |
[a1,a2,a3,a4,a6] |
j |
61584529658277996791/35678777309414784 |
j-invariant |
L |
1.0898548341597 |
L(r)(E,1)/r! |
Ω |
0.21797096683194 |
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 |
94128l1 35298j1 |
Quadratic twists by: -4 -3 |