Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800fa |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
1251649843200000000 = 218 · 312 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3934875,3003826250] |
[a1,a2,a3,a4,a6] |
j |
5776556465785/1073088 |
j-invariant |
L |
1.0576582705331 |
L(r)(E,1)/r! |
Ω |
0.2644145635328 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10350bv1 27600cc1 82800dy1 |
Quadratic twists by: -4 -3 5 |