Atkin-Lehner |
2- 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440bs |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
32 |
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] |
Generators |
[65:120:1] [-70:825:1] |
Generators of the group modulo torsion |
j |
362314607689/180225 |
j-invariant |
L |
12.341344317714 |
L(r)(E,1)/r! |
Ω |
1.1168925438702 |
Real period |
R |
1.3812143775382 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997117 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440g1 21360g1 |
Quadratic twists by: -4 8 |