Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82524c |
Isogeny class |
Conductor |
82524 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3.7864954623764E+19 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-971420,-219119304] |
[a1,a2,a3,a4,a6] |
Generators |
[-314:7406:1] |
Generators of the group modulo torsion |
j |
2675089395664/999149463 |
j-invariant |
L |
2.5995090884238 |
L(r)(E,1)/r! |
Ω |
0.15688095776881 |
Real period |
R |
2.761657767776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999792015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3588b2 |
Quadratic twists by: -23 |