Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5904m |
Isogeny class |
Conductor |
5904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
17629249536 = 216 · 38 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1299,16850] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:160:1] |
Generators of the group modulo torsion |
j |
81182737/5904 |
j-invariant |
L |
3.9104469418931 |
L(r)(E,1)/r! |
Ω |
1.2043400770446 |
Real period |
R |
1.6234811978894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
738c1 23616bu1 1968i1 |
Quadratic twists by: -4 8 -3 |