Atkin-Lehner |
2+ 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710x |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7814066526855468750 = 2 · 3 · 512 · 13 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2137884,-1195799804] |
[a1,a2,a3,a4,a6] |
j |
44769506062996441/323730468750 |
j-invariant |
L |
3.9970792631979 |
L(r)(E,1)/r! |
Ω |
0.1249087428709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630e3 |
Quadratic twists by: 17 |