Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10350bh |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-1.424099377152E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1010480,694880147] |
[a1,a2,a3,a4,a6] |
Generators |
[285:20593:1] |
Generators of the group modulo torsion |
j |
-10017490085065009/12502381363200 |
j-invariant |
L |
6.5804892722073 |
L(r)(E,1)/r! |
Ω |
0.16606433195994 |
Real period |
R |
0.70760972941527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800ds1 3450j1 2070i1 |
Quadratic twists by: -4 -3 5 |