Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
58656q |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
66485873171607552 = 212 · 39 · 132 · 474 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 0 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-143265,-16737039] |
[a1,a2,a3,a4,a6] |
Generators |
[4400:290719:1] |
Generators of the group modulo torsion |
j |
79393894876150336/16231902629787 |
j-invariant |
L |
3.5613300928861 |
L(r)(E,1)/r! |
Ω |
0.24891842322998 |
Real period |
R |
7.1536088944437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58656z2 117312cq1 |
Quadratic twists by: -4 8 |