Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
55776i |
Isogeny class |
Conductor |
55776 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
344361024 = 26 · 33 · 74 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-714,7056] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-42:1] |
Generators of the group modulo torsion |
j |
629863565248/5380641 |
j-invariant |
L |
6.5379502863849 |
L(r)(E,1)/r! |
Ω |
1.7152128952081 |
Real period |
R |
0.63529045525708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55776m1 111552z1 |
Quadratic twists by: -4 8 |