Atkin-Lehner |
79- |
Signs for the Atkin-Lehner involutions |
Class |
6241b |
Isogeny class |
Conductor |
6241 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
493039 = 793 |
Discriminant |
Eigenvalues |
1 -3 1 -3 2 -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64,-179] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] [20:69:1] |
Generators of the group modulo torsion |
j |
59319 |
j-invariant |
L |
4.1468463981944 |
L(r)(E,1)/r! |
Ω |
1.6884219287863 |
Real period |
R |
1.2280243248132 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99856n1 56169g1 6241a1 |
Quadratic twists by: -4 -3 -79 |