Atkin-Lehner |
2- 3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40920bb |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
542520633600 = 28 · 36 · 52 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5620,160132] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:440:1] |
Generators of the group modulo torsion |
j |
76695514966096/2119221225 |
j-invariant |
L |
6.0118174489977 |
L(r)(E,1)/r! |
Ω |
0.92085632024558 |
Real period |
R |
1.6321268901628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81840ba2 122760j2 |
Quadratic twists by: -4 -3 |