Atkin-Lehner |
3+ 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635m |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-242120990499609375 = -1 · 316 · 58 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8635,-23679760] |
[a1,a2,a3,a4,a6] |
j |
-71205555889646641/242120990499609375 |
j-invariant |
L |
1.134282164039 |
L(r)(E,1)/r! |
Ω |
0.14178527050488 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58905y5 98175u5 |
Quadratic twists by: -3 5 |