Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800bc |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
57186825920000000 = 212 · 57 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-350675,-79096750] |
[a1,a2,a3,a4,a6] |
Generators |
[-8538:11242:27] |
Generators of the group modulo torsion |
j |
74517479217441/893544155 |
j-invariant |
L |
6.0252017838948 |
L(r)(E,1)/r! |
Ω |
0.1963306984725 |
Real period |
R |
7.6722614332245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5425e4 17360bk3 |
Quadratic twists by: -4 5 |