Atkin-Lehner |
2+ 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40920c |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-12175293242787840 = -1 · 211 · 320 · 5 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,53064,-2476980] |
[a1,a2,a3,a4,a6] |
Generators |
[662347:29299824:343] |
Generators of the group modulo torsion |
j |
8068364842809742/5944967403705 |
j-invariant |
L |
5.1767797151848 |
L(r)(E,1)/r! |
Ω |
0.22479946101492 |
Real period |
R |
11.514217364699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840y3 122760cf3 |
Quadratic twists by: -4 -3 |