Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10350bq |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
4400331480000000000 = 212 · 314 · 510 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 1 3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-486680,-82894053] |
[a1,a2,a3,a4,a6] |
j |
1790712239425/618098688 |
j-invariant |
L |
4.4602517246607 |
L(r)(E,1)/r! |
Ω |
0.18584382186086 |
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 |
82800di1 3450b1 10350v1 |
Quadratic twists by: -4 -3 5 |