Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10350q |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
886974300 = 22 · 36 · 52 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-342,2056] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-226:1] |
Generators of the group modulo torsion |
j |
243135625/48668 |
j-invariant |
L |
3.3253723626434 |
L(r)(E,1)/r! |
Ω |
1.4947020054071 |
Real period |
R |
0.18539773316096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800dd1 1150f1 10350bs1 |
Quadratic twists by: -4 -3 5 |