Atkin-Lehner |
3+ 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635m |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
49135823993025 = 34 · 52 · 74 · 112 · 174 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9825,159510] |
[a1,a2,a3,a4,a6] |
j |
104887600917094801/49135823993025 |
j-invariant |
L |
1.134282164039 |
L(r)(E,1)/r! |
Ω |
0.56714108201951 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
58905y2 98175u2 |
Quadratic twists by: -3 5 |