Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784a |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3764758110397869312 = 28 · 314 · 72 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-450948,69941520] |
[a1,a2,a3,a4,a6] |
Generators |
[44:7084:1] |
Generators of the group modulo torsion |
j |
8207369602000/3046751253 |
j-invariant |
L |
4.4172361094619 |
L(r)(E,1)/r! |
Ω |
0.22726820127159 |
Real period |
R |
4.8590564855119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000236 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28392l2 4368e2 |
Quadratic twists by: -4 13 |