Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600ds |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-970444800 = -1 · 212 · 36 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 1 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1260,-17280] |
[a1,a2,a3,a4,a6] |
Generators |
[96:864:1] |
Generators of the group modulo torsion |
j |
-2963520/13 |
j-invariant |
L |
4.7525291326402 |
L(r)(E,1)/r! |
Ω |
0.40055571481148 |
Real period |
R |
2.9662097952931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999859074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600dr1 10400d1 93600co1 |
Quadratic twists by: -4 -3 5 |