Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904z |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
9412018176 = 224 · 3 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-577,-2785] |
[a1,a2,a3,a4,a6] |
j |
81182737/35904 |
j-invariant |
L |
4.0583643780444 |
L(r)(E,1)/r! |
Ω |
1.014591094513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904by1 1122f1 107712cl1 |
Quadratic twists by: -4 8 -3 |