Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
44520n |
Isogeny class |
Conductor |
44520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5827169376000000 = -1 · 211 · 33 · 56 · 74 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-107056,14009356] |
[a1,a2,a3,a4,a6] |
Generators |
[405:6076:1] |
Generators of the group modulo torsion |
j |
-66256860592139618/2845297546875 |
j-invariant |
L |
3.4311491261882 |
L(r)(E,1)/r! |
Ω |
0.42264674437126 |
Real period |
R |
4.0591216800872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89040p2 |
Quadratic twists by: -4 |