Atkin-Lehner |
2- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
50666q |
Isogeny class |
Conductor |
50666 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
159936 |
Modular degree for the optimal curve |
Δ |
-92171915870342 = -1 · 2 · 79 · 11 · 473 |
Discriminant |
Eigenvalues |
2- -1 2 7- 11- -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25432,-1638561] |
[a1,a2,a3,a4,a6] |
Generators |
[15823324:17597531:85184] |
Generators of the group modulo torsion |
j |
-45080005879/2284106 |
j-invariant |
L |
8.7236036883708 |
L(r)(E,1)/r! |
Ω |
0.18847097156711 |
Real period |
R |
7.7143654323164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50666o1 |
Quadratic twists by: -7 |