Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680bj |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
10214400 |
Modular degree for the optimal curve |
Δ |
2.8155623078518E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-215668726,-1218972024344] |
[a1,a2,a3,a4,a6] |
j |
17334258101065004511710293696/439931610601836701985 |
j-invariant |
L |
1.6546369295198 |
L(r)(E,1)/r! |
Ω |
0.039396117368919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680by1 87360he1 |
Quadratic twists by: -4 8 |