Atkin-Lehner |
2+ 3- 5+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
122550y |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-5.1242004611641E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1704624,-672427352] |
[a1,a2,a3,a4,a6] |
j |
35058218912731207439/32794882951450050 |
j-invariant |
L |
4.3352593249631 |
L(r)(E,1)/r! |
Ω |
0.090317927064805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24510n3 |
Quadratic twists by: 5 |