Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688i |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
26770341888 = 216 · 35 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 5 -7 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-888,6768] |
[a1,a2,a3,a4,a6] |
j |
11259625/3888 |
j-invariant |
L |
2.1825645271567 |
L(r)(E,1)/r! |
Ω |
1.0912822927827 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10086g1 80688bj1 |
Quadratic twists by: -4 41 |