Atkin-Lehner |
2+ 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
80496o |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
2523308112 = 24 · 38 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72102,7451935] |
[a1,a2,a3,a4,a6] |
Generators |
[159:-86:1] |
Generators of the group modulo torsion |
j |
3554005829453824/216333 |
j-invariant |
L |
2.4177208809116 |
L(r)(E,1)/r! |
Ω |
1.0907173718201 |
Real period |
R |
1.108316850609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999835848 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40248h1 26832i1 |
Quadratic twists by: -4 -3 |