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 |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
222975808122414672 = 24 · 34 · 133 · 238 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-423905,103914546] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:12167:1] |
Generators of the group modulo torsion |
j |
3556668227584/94139253 |
j-invariant |
L |
2.5995090884238 |
L(r)(E,1)/r! |
Ω |
0.31376191553763 |
Real period |
R |
1.380828883888 |
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 |
3588b1 |
Quadratic twists by: -23 |