Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712x |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
7290196328448 = 220 · 37 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6924,-179728] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:153:1] [-56:180:1] |
Generators of the group modulo torsion |
j |
192100033/38148 |
j-invariant |
L |
12.464519191527 |
L(r)(E,1)/r! |
Ω |
0.5306340341197 |
Real period |
R |
2.9362325045931 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999456 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712ek1 3366i1 35904v1 |
Quadratic twists by: -4 8 -3 |