Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bm |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1185112540643328 = 216 · 39 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-231564,-42857872] |
[a1,a2,a3,a4,a6] |
Generators |
[566:2720:1] |
Generators of the group modulo torsion |
j |
28742820444292/24805737 |
j-invariant |
L |
10.029612979074 |
L(r)(E,1)/r! |
Ω |
0.21764780651626 |
Real period |
R |
2.8801154573012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712fa4 13464v3 35904s4 |
Quadratic twists by: -4 8 -3 |