Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800it |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1235032142400000000 = 212 · 38 · 58 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2646408,-1657060812] |
[a1,a2,a3,a4,a6] |
j |
272223782641/164025 |
j-invariant |
L |
3.7879219833303 |
L(r)(E,1)/r! |
Ω |
0.11837256204131 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3675e5 11760bq5 1200j5 |
Quadratic twists by: -4 5 -7 |