Atkin-Lehner |
2- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
8080f |
Isogeny class |
Conductor |
8080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
40400 = 24 · 52 · 101 |
Discriminant |
Eigenvalues |
2- 0 5- -4 6 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32,-69] |
[a1,a2,a3,a4,a6] |
Generators |
[226:1175:8] |
Generators of the group modulo torsion |
j |
226492416/2525 |
j-invariant |
L |
4.0493267853651 |
L(r)(E,1)/r! |
Ω |
2.0086516702019 |
Real period |
R |
4.0318855134878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2020a1 32320o1 72720bs1 40400l1 |
Quadratic twists by: -4 8 -3 5 |