Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
43920m |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
683043840 = 210 · 37 · 5 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175683,-28342798] |
[a1,a2,a3,a4,a6] |
Generators |
[-859919872042:-275022495:3553559576] |
Generators of the group modulo torsion |
j |
803314200049924/915 |
j-invariant |
L |
6.8376183288035 |
L(r)(E,1)/r! |
Ω |
0.23319386468232 |
Real period |
R |
14.6608023717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21960g4 14640e3 |
Quadratic twists by: -4 -3 |