Atkin-Lehner |
2+ 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5904a |
Isogeny class |
Conductor |
5904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-1652742144 = -1 · 211 · 39 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -4 0 -3 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-891,-10422] |
[a1,a2,a3,a4,a6] |
Generators |
[42:162:1] |
Generators of the group modulo torsion |
j |
-1940598/41 |
j-invariant |
L |
4.2497398254108 |
L(r)(E,1)/r! |
Ω |
0.43637194110039 |
Real period |
R |
2.4347004385148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2952d1 23616bd1 5904b1 |
Quadratic twists by: -4 8 -3 |