Atkin-Lehner |
3- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
58065t |
Isogeny class |
Conductor |
58065 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
3777702919305 = 3 · 5 · 79 · 792 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -2 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6543,-181499] |
[a1,a2,a3,a4,a6] |
Generators |
[-36927:122671:729] |
Generators of the group modulo torsion |
j |
263251475929/32109945 |
j-invariant |
L |
9.0923500029052 |
L(r)(E,1)/r! |
Ω |
0.53508177332409 |
Real period |
R |
8.49622474188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8295b1 |
Quadratic twists by: -7 |