Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218q |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
-847644090662633472 = -1 · 214 · 37 · 138 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 -3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44901,44458389] |
[a1,a2,a3,a4,a6] |
j |
-16835377/1425408 |
j-invariant |
L |
1.8546325238506 |
L(r)(E,1)/r! |
Ω |
0.23182906558577 |
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 |
29406bb1 88218by1 |
Quadratic twists by: -3 13 |