Atkin-Lehner |
3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
37905t |
Isogeny class |
Conductor |
37905 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
469282662975 = 3 · 52 · 7 · 197 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19205208,-32396498669] |
[a1,a2,a3,a4,a6] |
j |
16651720753282540801/9975 |
j-invariant |
L |
5.1925095031021 |
L(r)(E,1)/r! |
Ω |
0.072118187544241 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113715n4 1995c4 |
Quadratic twists by: -3 -19 |