Atkin-Lehner |
2+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270p |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
8341480 = 23 · 5 · 7 · 313 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ -5 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5419,-152195] |
[a1,a2,a3,a4,a6] |
Generators |
[-338:171:8] |
Generators of the group modulo torsion |
j |
590800920471/280 |
j-invariant |
L |
2.5075833954252 |
L(r)(E,1)/r! |
Ω |
0.55643702839979 |
Real period |
R |
2.2532499344808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67270n1 |
Quadratic twists by: -31 |