Atkin-Lehner |
2- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
67424n |
Isogeny class |
Conductor |
67424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
-7551488 = -1 · 29 · 73 · 43 |
Discriminant |
Eigenvalues |
2- -1 -4 7- 3 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40,-104] |
[a1,a2,a3,a4,a6] |
Generators |
[5:14:1] |
Generators of the group modulo torsion |
j |
39304/43 |
j-invariant |
L |
3.1701112189321 |
L(r)(E,1)/r! |
Ω |
1.2676758437924 |
Real period |
R |
1.2503635036275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67424e1 67424m1 |
Quadratic twists by: -4 -7 |