Atkin-Lehner |
2- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6916a |
Isogeny class |
Conductor |
6916 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
816 |
Modular degree for the optimal curve |
Δ |
-193648 = -1 · 24 · 72 · 13 · 19 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 0 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14,25] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:7:1] [-2:7:1] |
Generators of the group modulo torsion |
j |
-20353792/12103 |
j-invariant |
L |
3.6624118837367 |
L(r)(E,1)/r! |
Ω |
2.9501195426758 |
Real period |
R |
0.20690754113277 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27664q1 110656l1 62244j1 48412p1 |
Quadratic twists by: -4 8 -3 -7 |