Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960dc |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4811426935664640000 = 215 · 3 · 54 · 238 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-982000,359052500] |
[a1,a2,a3,a4,a6] |
Generators |
[-6550:198375:8] |
Generators of the group modulo torsion |
j |
172715635009/7935000 |
j-invariant |
L |
7.6353321898188 |
L(r)(E,1)/r! |
Ω |
0.24092097466128 |
Real period |
R |
3.9615335166611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000081097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870bc2 5520y2 |
Quadratic twists by: -4 -23 |