Atkin-Lehner |
2+ 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
80496l |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-71509534746624 = -1 · 211 · 37 · 135 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 -4 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4317,-391934] |
[a1,a2,a3,a4,a6] |
Generators |
[71:522:1] |
Generators of the group modulo torsion |
j |
5959535038/47896797 |
j-invariant |
L |
6.8252150939133 |
L(r)(E,1)/r! |
Ω |
0.30531114978156 |
Real period |
R |
2.7943685883056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40248e1 26832g1 |
Quadratic twists by: -4 -3 |