Atkin-Lehner |
2+ 3- 5- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710m |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14411340000 = 25 · 32 · 54 · 23 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4018,97508] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:460:1] |
Generators of the group modulo torsion |
j |
7171303860679321/14411340000 |
j-invariant |
L |
5.874825789994 |
L(r)(E,1)/r! |
Ω |
1.251949543591 |
Real period |
R |
1.1731354949701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122130bm2 |
Quadratic twists by: -3 |