Atkin-Lehner |
3- 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635t |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8.4398855572864E+22 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5330270,-13149909535] |
[a1,a2,a3,a4,a6] |
j |
16748323164863581359610079/84398855572864120299165 |
j-invariant |
L |
1.7368973152222 |
L(r)(E,1)/r! |
Ω |
0.054278041100693 |
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 |
58905u7 98175f7 |
Quadratic twists by: -3 5 |