Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680ck |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
1946980292712000 = 26 · 3 · 53 · 75 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2099410,-1171528600] |
[a1,a2,a3,a4,a6] |
Generators |
[1765:24990:1] |
Generators of the group modulo torsion |
j |
15989531155800771865024/30421567073625 |
j-invariant |
L |
8.383117976077 |
L(r)(E,1)/r! |
Ω |
0.12542244757788 |
Real period |
R |
4.4559370553737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680e1 87360r1 |
Quadratic twists by: -4 8 |