Atkin-Lehner |
2- 7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
88396a |
Isogeny class |
Conductor |
88396 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
27432 |
Modular degree for the optimal curve |
Δ |
-2096399536 = -1 · 24 · 74 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 2 1 7+ 11+ -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,2234] |
[a1,a2,a3,a4,a6] |
j |
-802816/54571 |
j-invariant |
L |
3.6364166984588 |
L(r)(E,1)/r! |
Ω |
1.2121389140658 |
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 |
88396e1 |
Quadratic twists by: -7 |