Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40368bj |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
31046400 |
Modular degree for the optimal curve |
Δ |
-1.5136387405726E+27 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 6 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103672032,-1915463566476] |
[a1,a2,a3,a4,a6] |
Generators |
[33978:-5812992:1] |
Generators of the group modulo torsion |
j |
-50577879066661513/621261297432576 |
j-invariant |
L |
4.0238053494917 |
L(r)(E,1)/r! |
Ω |
0.0203449535902 |
Real period |
R |
1.1772561786502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5046i1 121104ce1 1392i1 |
Quadratic twists by: -4 -3 29 |