Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968cf |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-134742528 = -1 · 29 · 36 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -3 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171,-1026] |
[a1,a2,a3,a4,a6] |
j |
-4104 |
j-invariant |
L |
1.3034714751703 |
L(r)(E,1)/r! |
Ω |
0.65173580153857 |
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 |
103968y1 11552l1 103968p1 |
Quadratic twists by: -4 -3 -19 |