Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67280m |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22216320 |
Modular degree for the optimal curve |
Δ |
2.2586547602688E+25 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 -2 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1162062683,15245567851018] |
[a1,a2,a3,a4,a6] |
j |
100709966211849/13107200 |
j-invariant |
L |
2.0879405573201 |
L(r)(E,1)/r! |
Ω |
0.065248142336067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8410h1 67280r1 |
Quadratic twists by: -4 29 |