Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19350k |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.4438842773438E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14934042,-22207827884] |
[a1,a2,a3,a4,a6] |
j |
32337636827233520089/3023437500000 |
j-invariant |
L |
0.61439494614021 |
L(r)(E,1)/r! |
Ω |
0.076799368267527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450t4 3870z3 |
Quadratic twists by: -3 5 |