Atkin-Lehner |
2- 3- 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158bl |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-39537175226578848 = -1 · 25 · 37 · 7 · 134 · 414 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21011,9643475] |
[a1,a2,a3,a4,a6] |
Generators |
[135:-3110:1] |
Generators of the group modulo torsion |
j |
-1407074115849193/54234808266912 |
j-invariant |
L |
8.2135294667986 |
L(r)(E,1)/r! |
Ω |
0.30243832017964 |
Real period |
R |
1.3578850493649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22386i3 |
Quadratic twists by: -3 |