Atkin-Lehner |
2+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400bj |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1682000000000 = 210 · 59 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -4 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-140333,-20281037] |
[a1,a2,a3,a4,a6] |
Generators |
[8346:249139:8] |
Generators of the group modulo torsion |
j |
152818608128/841 |
j-invariant |
L |
3.3750861171587 |
L(r)(E,1)/r! |
Ω |
0.2466661116406 |
Real period |
R |
6.8414061719158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46400co1 5800k1 46400bh1 |
Quadratic twists by: -4 8 5 |