Atkin-Lehner |
2+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80360h |
Isogeny class |
Conductor |
80360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
6050735129600 = 210 · 52 · 78 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 0 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32160,2206000] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:1960:1] |
Generators of the group modulo torsion |
j |
30534944836/50225 |
j-invariant |
L |
4.2821668177285 |
L(r)(E,1)/r! |
Ω |
0.75566143363697 |
Real period |
R |
2.8333898152601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953876 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11480c1 |
Quadratic twists by: -7 |