Atkin-Lehner |
2- 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910cr |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
27916561612800 = 216 · 38 · 52 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 -1 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13630,556100] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-550:1] |
Generators of the group modulo torsion |
j |
5715012584426929/569725747200 |
j-invariant |
L |
12.85629391416 |
L(r)(E,1)/r! |
Ω |
0.64645615099477 |
Real period |
R |
0.077684925774763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77910bo1 |
Quadratic twists by: -7 |