Atkin-Lehner |
2- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
190c |
Isogeny class |
Conductor |
190 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-342950 = -1 · 2 · 52 · 193 |
Discriminant |
Eigenvalues |
2- 1 5- -1 0 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2780,-56650] |
[a1,a2,a3,a4,a6] |
j |
-2376117230685121/342950 |
j-invariant |
L |
1.9724626714757 |
L(r)(E,1)/r! |
Ω |
0.32874377857928 |
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 |
1520j2 6080a2 1710e2 950b2 |
Quadratic twists by: -4 8 -3 5 |