Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600hv |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-111537000000 = -1 · 26 · 38 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108,16038] |
[a1,a2,a3,a4,a6] |
Generators |
[9:126:1] |
Generators of the group modulo torsion |
j |
-140608/111537 |
j-invariant |
L |
7.0099153311472 |
L(r)(E,1)/r! |
Ω |
0.85199197731931 |
Real period |
R |
2.056919406533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002444 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600fg1 40800a2 3264v1 |
Quadratic twists by: -4 8 5 |