Atkin-Lehner |
2- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
123704d |
Isogeny class |
Conductor |
123704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
206080 |
Modular degree for the optimal curve |
Δ |
-19316353869568 = -1 · 28 · 7 · 476 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2209,-207646] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1778:1] |
Generators of the group modulo torsion |
j |
432/7 |
j-invariant |
L |
2.9191045600295 |
L(r)(E,1)/r! |
Ω |
0.33493686472241 |
Real period |
R |
4.3576937901378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998939791 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56a1 |
Quadratic twists by: -47 |