Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600hw |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-3608107200 = -1 · 26 · 33 · 52 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 -7 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-433,4373] |
[a1,a2,a3,a4,a6] |
Generators |
[92:867:1] |
Generators of the group modulo torsion |
j |
-5624320000/2255067 |
j-invariant |
L |
8.0409024270715 |
L(r)(E,1)/r! |
Ω |
1.3169499437984 |
Real period |
R |
1.0176168125069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600f1 20400bu1 81600hk1 |
Quadratic twists by: -4 8 5 |