Atkin-Lehner |
2- 3- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464cf |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
192568918270869504 = 216 · 34 · 74 · 134 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-747104,247406196] |
[a1,a2,a3,a4,a6] |
Generators |
[-660:21294:1] |
Generators of the group modulo torsion |
j |
11259199913735251297/47013896062224 |
j-invariant |
L |
6.2063908896925 |
L(r)(E,1)/r! |
Ω |
0.32012101057034 |
Real period |
R |
2.4234549864094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024368 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
12558m3 |
Quadratic twists by: -4 |