Atkin-Lehner |
2+ 3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440g |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
47244902400 = 218 · 34 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9505,-353375] |
[a1,a2,a3,a4,a6] |
j |
362314607689/180225 |
j-invariant |
L |
1.9341076568942 |
L(r)(E,1)/r! |
Ω |
0.4835269473902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440bs1 1335a1 |
Quadratic twists by: -4 8 |