Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
32200r |
Isogeny class |
Conductor |
32200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
43294832000000 = 210 · 56 · 76 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 4 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9408,-155312] |
[a1,a2,a3,a4,a6] |
Generators |
[104:44:1] |
Generators of the group modulo torsion |
j |
5756278756/2705927 |
j-invariant |
L |
4.0460128569992 |
L(r)(E,1)/r! |
Ω |
0.50743913289616 |
Real period |
R |
3.9866977088533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64400p2 1288d2 |
Quadratic twists by: -4 5 |