Atkin-Lehner |
2- 3+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
88806n |
Isogeny class |
Conductor |
88806 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1398400 |
Modular degree for the optimal curve |
Δ |
527249755407437028 = 22 · 35 · 199 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 6 0 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-222203,-20213755] |
[a1,a2,a3,a4,a6] |
j |
3760028875/1633932 |
j-invariant |
L |
4.118103657199 |
L(r)(E,1)/r! |
Ω |
0.22878353889644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88806i1 |
Quadratic twists by: -19 |