Atkin-Lehner |
2- 3- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67896h |
Isogeny class |
Conductor |
67896 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3751597976787929088 = 211 · 36 · 232 · 416 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 2 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-409899,38970758] |
[a1,a2,a3,a4,a6] |
Generators |
[611170:42374648:125] |
Generators of the group modulo torsion |
j |
5101487277496274/2512805143489 |
j-invariant |
L |
6.9432622874086 |
L(r)(E,1)/r! |
Ω |
0.22074185675573 |
Real period |
R |
5.242369518549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7544a2 |
Quadratic twists by: -3 |