Atkin-Lehner |
2- 3- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
102366bb |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
14815115073792 = 28 · 39 · 113 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-122486,16529285] |
[a1,a2,a3,a4,a6] |
Generators |
[223:-629:1] |
Generators of the group modulo torsion |
j |
209447008073603/15268608 |
j-invariant |
L |
7.3629738351375 |
L(r)(E,1)/r! |
Ω |
0.66749331179801 |
Real period |
R |
0.6894239342389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34122j1 102366e1 |
Quadratic twists by: -3 -11 |