Atkin-Lehner |
2- 3+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
41808k |
Isogeny class |
Conductor |
41808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
808704 |
Modular degree for the optimal curve |
Δ |
-1.9383745032116E+19 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -2 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40912,211862464] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:14586:1] |
Generators of the group modulo torsion |
j |
-1848955724169553/4732359626981376 |
j-invariant |
L |
3.4013080008379 |
L(r)(E,1)/r! |
Ω |
0.17432394587586 |
Real period |
R |
4.8778553969544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5226f1 125424x1 |
Quadratic twists by: -4 -3 |