Atkin-Lehner |
2- 3+ 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158bb |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
305280 |
Modular degree for the optimal curve |
Δ |
-1660129455918024 = -1 · 23 · 39 · 7 · 13 · 415 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19658,2233873] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:1853:1] |
Generators of the group modulo torsion |
j |
-42680519796123/84343314328 |
j-invariant |
L |
8.5174555067496 |
L(r)(E,1)/r! |
Ω |
0.42169550513224 |
Real period |
R |
3.3663529738755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67158d1 |
Quadratic twists by: -3 |