Atkin-Lehner |
2+ 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56304b |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33493222656 = 28 · 39 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3159,-67770] |
[a1,a2,a3,a4,a6] |
Generators |
[3237:184140:1] |
Generators of the group modulo torsion |
j |
691896816/6647 |
j-invariant |
L |
7.3292552401705 |
L(r)(E,1)/r! |
Ω |
0.63718276276192 |
Real period |
R |
5.7512974836705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28152l2 56304h2 |
Quadratic twists by: -4 -3 |