Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10350br |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
3772575000000 = 26 · 38 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 5 3 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31055,-2096553] |
[a1,a2,a3,a4,a6] |
j |
11631015625/13248 |
j-invariant |
L |
4.3159729250996 |
L(r)(E,1)/r! |
Ω |
0.35966441042497 |
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 |
82800fr1 3450g1 10350r1 |
Quadratic twists by: -4 -3 5 |