Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10350bs |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
13858973437500 = 22 · 36 · 58 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8555,248447] |
[a1,a2,a3,a4,a6] |
j |
243135625/48668 |
j-invariant |
L |
2.6738042321564 |
L(r)(E,1)/r! |
Ω |
0.66845105803911 |
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 |
82800fp1 1150d1 10350q1 |
Quadratic twists by: -4 -3 5 |