Atkin-Lehner |
3- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
21483k |
Isogeny class |
Conductor |
21483 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
5220369 = 37 · 7 · 11 · 31 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1346,-18664] |
[a1,a2,a3,a4,a6] |
Generators |
[43:18:1] [60:307:1] |
Generators of the group modulo torsion |
j |
369682454233/7161 |
j-invariant |
L |
4.4306649394723 |
L(r)(E,1)/r! |
Ω |
0.78825004618329 |
Real period |
R |
11.241775274042 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7161g1 |
Quadratic twists by: -3 |