Atkin-Lehner |
3+ 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635n |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
19635 = 3 · 5 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-104720,-13087090] |
[a1,a2,a3,a4,a6] |
j |
127002676039247796481/19635 |
j-invariant |
L |
1.0615785043512 |
L(r)(E,1)/r! |
Ω |
0.26539462608781 |
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 |
58905z4 98175w4 |
Quadratic twists by: -3 5 |