Atkin-Lehner |
2+ 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5472a |
Isogeny class |
Conductor |
5472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
23934528 = 26 · 39 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 -6 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-189,972] |
[a1,a2,a3,a4,a6] |
Generators |
[1:28:1] |
Generators of the group modulo torsion |
j |
592704/19 |
j-invariant |
L |
4.5919451768197 |
L(r)(E,1)/r! |
Ω |
2.1197795556054 |
Real period |
R |
2.1662371281377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5472q1 10944h1 5472p1 103968be1 |
Quadratic twists by: -4 8 -3 -19 |