Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59040k |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3137149440 = -1 · 29 · 36 · 5 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,357,722] |
[a1,a2,a3,a4,a6] |
Generators |
[2:38:1] [14:92:1] |
Generators of the group modulo torsion |
j |
13481272/8405 |
j-invariant |
L |
8.1438698233471 |
L(r)(E,1)/r! |
Ω |
0.87914071546013 |
Real period |
R |
9.2634429052474 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59040bk2 118080cj2 6560n2 |
Quadratic twists by: -4 8 -3 |