Atkin-Lehner |
2- 3+ 7+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
56826p |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
109843256162588256 = 25 · 39 · 74 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-225614,38096893] |
[a1,a2,a3,a4,a6] |
Generators |
[347:1051:1] |
Generators of the group modulo torsion |
j |
64525109635796571/5580615564832 |
j-invariant |
L |
10.902484694149 |
L(r)(E,1)/r! |
Ω |
0.32557867678989 |
Real period |
R |
3.3486482596564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56826a2 |
Quadratic twists by: -3 |