Atkin-Lehner |
2+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7448b |
Isogeny class |
Conductor |
7448 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-10122437135104 = -1 · 28 · 78 · 193 |
Discriminant |
Eigenvalues |
2+ 2 -1 7+ -3 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4916,204212] |
[a1,a2,a3,a4,a6] |
Generators |
[82:588:1] |
Generators of the group modulo torsion |
j |
-8904784/6859 |
j-invariant |
L |
5.4588285934218 |
L(r)(E,1)/r! |
Ω |
0.66513938615088 |
Real period |
R |
1.3678407631749 |
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 |
14896j1 59584o1 67032bq1 7448h1 |
Quadratic twists by: -4 8 -3 -7 |