Atkin-Lehner |
2+ 3- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19422g |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-366404709924864 = -1 · 214 · 313 · 132 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 3 13- -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15327,-564867] |
[a1,a2,a3,a4,a6] |
Generators |
[111:1524:1] |
Generators of the group modulo torsion |
j |
546200027079407/502612770816 |
j-invariant |
L |
4.5929235642488 |
L(r)(E,1)/r! |
Ω |
0.29412695749801 |
Real period |
R |
0.97596536273793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6474k1 |
Quadratic twists by: -3 |