Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350j |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3528935542652187500 = 22 · 57 · 79 · 234 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44832167,-115528849759] |
[a1,a2,a3,a4,a6] |
Generators |
[7765:63174:1] |
Generators of the group modulo torsion |
j |
5421065386069310769/1919709260 |
j-invariant |
L |
3.3647893767966 |
L(r)(E,1)/r! |
Ω |
0.058344796661354 |
Real period |
R |
3.6044231547542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270o3 8050e3 |
Quadratic twists by: 5 -7 |