Atkin-Lehner |
2+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
79376k |
Isogeny class |
Conductor |
79376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-818149387264 = -1 · 210 · 117 · 41 |
Discriminant |
Eigenvalues |
2+ -2 -1 1 11- 6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1976,-55772] |
[a1,a2,a3,a4,a6] |
Generators |
[106:968:1] |
Generators of the group modulo torsion |
j |
-470596/451 |
j-invariant |
L |
4.7832415421162 |
L(r)(E,1)/r! |
Ω |
0.3445389523734 |
Real period |
R |
0.86768881880241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999921716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39688k1 7216c1 |
Quadratic twists by: -4 -11 |