Atkin-Lehner |
2- 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
24016j |
Isogeny class |
Conductor |
24016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-248678187008 = -1 · 221 · 19 · 792 |
Discriminant |
Eigenvalues |
2- 1 0 -3 4 -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1688,-36460] |
[a1,a2,a3,a4,a6] |
j |
-129938649625/60712448 |
j-invariant |
L |
1.4568981595555 |
L(r)(E,1)/r! |
Ω |
0.36422453988889 |
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 |
3002a1 96064u1 |
Quadratic twists by: -4 8 |