Atkin-Lehner |
2+ 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
24168b |
Isogeny class |
Conductor |
24168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
3021679014847488 = 210 · 39 · 19 · 534 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 0 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117168,15247836] |
[a1,a2,a3,a4,a6] |
j |
173721876740450500/2950858412937 |
j-invariant |
L |
0.45100836325697 |
L(r)(E,1)/r! |
Ω |
0.45100836325709 |
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 |
48336o1 72504z1 |
Quadratic twists by: -4 -3 |