Atkin-Lehner |
2- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
67450o |
Isogeny class |
Conductor |
67450 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
1038240 |
Modular degree for the optimal curve |
Δ |
-608736250000000 = -1 · 27 · 510 · 193 · 71 |
Discriminant |
Eigenvalues |
2- 2 5+ -5 0 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-823138,287106031] |
[a1,a2,a3,a4,a6] |
Generators |
[529:-37:1] |
Generators of the group modulo torsion |
j |
-6315993225982825/62334592 |
j-invariant |
L |
12.224557464746 |
L(r)(E,1)/r! |
Ω |
0.46501516564615 |
Real period |
R |
1.2518339767163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67450j1 |
Quadratic twists by: 5 |