Atkin-Lehner |
7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38437a |
Isogeny class |
Conductor |
38437 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-39856317999753227 = -1 · 72 · 179 · 193 |
Discriminant |
Eigenvalues |
0 -1 0 7+ 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-697453,-224165561] |
[a1,a2,a3,a4,a6] |
j |
-1554446024704000/1651215083 |
j-invariant |
L |
0.99116134250059 |
L(r)(E,1)/r! |
Ω |
0.082596778543812 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2261d2 |
Quadratic twists by: 17 |